44346727152 has 480 divisors, whose sum is σ = 164992564800. Its totient is φ = 11290503168.

The previous prime is 44346727093. The next prime is 44346727157. The reversal of 44346727152 is 25172764344.

44346727152 is a `hidden beast` number, since 4 + 434 + 67 + 2 + 7 + 152 = 666.

It is a super-2 number, since 2×44346727152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44346727098 and 44346727107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44346727157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7977558 + ... + 7983114.

It is an arithmetic number, because the mean of its divisors is an integer number (343734510).

Almost surely, 2^44346727152 is an apocalyptic number.

44346727152 is a gapful number since it is divisible by the number (42) 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 44346727152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82496282400).

44346727152 is an abundant number, since it is smaller than the sum of its proper divisors (120645837648).

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

44346727152 is a wasteful number, since it uses less digits than its factorization.

44346727152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5630 (or 5611 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The spelling of 44346727152 in words is "forty-four billion, three hundred forty-six million, seven hundred twenty-seven thousand, one hundred fifty-two".