45756964562400 has 864 divisors, whose sum is σ = 204796374693120. Its totient is φ = 9654211307520.

The previous prime is 45756964562261. The next prime is 45756964562437. The reversal of 45756964562400 is 426546965754.

It is a happy number.

45756964562400 is a `hidden beast` number, since 4 + 5 + 7 + 5 + 6 + 9 + 64 + 562 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24657459 + ... + 26448141.

It is an arithmetic number, because the mean of its divisors is an integer number (237032841080).

Almost surely, 2^{45756964562400} is an apocalyptic number.

45756964562400 is a gapful number since it is divisible by the number (40) 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 45756964562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102398187346560).

45756964562400 is an abundant number, since it is smaller than the sum of its proper divisors (159039410130720).

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

45756964562400 is a wasteful number, since it uses less digits than its factorization.

45756964562400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790745 (or 1790713 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 45756964562400 in words is "forty-five trillion, seven hundred fifty-six billion, nine hundred sixty-four million, five hundred sixty-two thousand, four hundred".