45693261504576 has 448 divisors, whose sum is σ = 154777049856000. Its totient is φ = 12948671232000.

The previous prime is 45693261504551. The next prime is 45693261504593. The reversal of 45693261504576 is 67540516239654.

45693261504576 is a `hidden beast` number, since 4 + 5 + 6 + 9 + 3 + 2 + 6 + 1 + 50 + 4 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 842229451 + ... + 842283701.

Almost surely, 2^{45693261504576} 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 45693261504576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77388524928000).

45693261504576 is an abundant number, since it is smaller than the sum of its proper divisors (109083788351424).

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

45693261504576 is a wasteful number, since it uses less digits than its factorization.

45693261504576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54847 (or 54831 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 45693261504576 in words is "forty-five trillion, six hundred ninety-three billion, two hundred sixty-one million, five hundred four thousand, five hundred seventy-six".