44525032053264 has 225 divisors, whose sum is σ = 149913754457247. Its totient is φ = 12720957294528.

The previous prime is 44525032053241. The next prime is 44525032053287. The reversal of 44525032053264 is 46235023052544.

The square root of 44525032053264 is 6672708.

It is a perfect power (a square), and thus also a powerful number.

44525032053264 is a `hidden beast` number, since 4 + 4 + 5 + 2 + 50 + 3 + 2 + 0 + 532 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (44525032053241) and next prime (44525032053287).

It is a super-2 number, since 2×44525032053264² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1681509177 + ... + 1681535655.

Almost surely, 2^{44525032053264} is an apocalyptic number.

44525032053264 is the 6672708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44525032053264

44525032053264 is an abundant number, since it is smaller than the sum of its proper divisors (105388722403983).

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

44525032053264 is an frugal number, since it uses more digits than its factorization.

44525032053264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52992 (or 26491 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 44525032053264 in words is "forty-four trillion, five hundred twenty-five billion, thirty-two million, fifty-three thousand, two hundred sixty-four".