44956753325568 has 1280 divisors, whose sum is σ = 170120611584000. Its totient is φ = 11411523108864.

The previous prime is 44956753325501. The next prime is 44956753325569. The reversal of 44956753325568 is 86552335765944.

44956753325568 is a `hidden beast` number, since 4 + 4 + 9 + 5 + 6 + 7 + 5 + 33 + 25 + 568 = 666.

44956753325568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×44956753325568² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (3265920000) is a multiple of the sum of its prime divisors (5250).

It is a junction number, because it is equal to n+sod(n) for n = 44956753325496 and 44956753325505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44956753325569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9158024298 + ... + 9158029206.

It is an arithmetic number, because the mean of its divisors is an integer number (132906727800).

Almost surely, 2^{44956753325568} is an apocalyptic number.

44956753325568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44956753325568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85060305792000).

44956753325568 is an abundant number, since it is smaller than the sum of its proper divisors (125163858258432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44956753325568 is a wasteful number, since it uses less digits than its factorization.

44956753325568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5272 (or 5250 counting only the distinct ones).

The product of its digits is 3265920000, while the sum is 72.

The spelling of 44956753325568 in words is "forty-four trillion, nine hundred fifty-six billion, seven hundred fifty-three million, three hundred twenty-five thousand, five hundred sixty-eight".