44627050944 has 336 divisors, whose sum is σ = 150721771200. Its totient is φ = 12357992448.

The previous prime is 44627050943. The next prime is 44627050957. The reversal of 44627050944 is 44905072644.

44627050944 is a `hidden beast` number, since 44 + 62 + 7 + 0 + 509 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×44627050944² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44627050944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44627050943) 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 47 ways as a sum of consecutive naturals, for example, 58032192 + ... + 58032960.

It is an arithmetic number, because the mean of its divisors is an integer number (448576700).

Almost surely, 2^44627050944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44627050944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75360885600).

44627050944 is an abundant number, since it is smaller than the sum of its proper divisors (106094720256).

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

44627050944 is a wasteful number, since it uses less digits than its factorization.

44627050944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 44627050944 in words is "forty-four billion, six hundred twenty-seven million, fifty thousand, nine hundred forty-four".