45191647702656 has 1920 divisors, whose sum is σ = 178482055752000. Its totient is φ = 11286078935040.

The previous prime is 45191647702547. The next prime is 45191647702681. The reversal of 45191647702656 is 65620774619154.

45191647702656 is a `hidden beast` number, since 4 + 5 + 1 + 91 + 6 + 477 + 0 + 26 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 45191647702593 and 45191647702602.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 21206778711 + ... + 21206780841.

Almost surely, 2^{45191647702656} 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 45191647702656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89241027876000).

45191647702656 is an abundant number, since it is smaller than the sum of its proper divisors (133290408049344).

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

45191647702656 is a wasteful number, since it uses less digits than its factorization.

45191647702656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 45191647702656 in words is "forty-five trillion, one hundred ninety-one billion, six hundred forty-seven million, seven hundred two thousand, six hundred fifty-six".