45151657956 has 72 divisors (see below), whose sum is σ = 118415650080. Its totient is φ = 15043542912.

The previous prime is 45151657919. The next prime is 45151657979. The reversal of 45151657956 is 65975615154.

It is a happy number.

45151657956 is a `hidden beast` number, since 4 + 5 + 1 + 5 + 16 + 579 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2339715 + ... + 2358933.

Almost surely, 2^45151657956 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 45151657956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59207825040).

45151657956 is an abundant number, since it is smaller than the sum of its proper divisors (73263992124).

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

45151657956 is a wasteful number, since it uses less digits than its factorization.

45151657956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21655 (or 21641 counting only the distinct ones).

The product of its digits is 5670000, while the sum is 54.

The spelling of 45151657956 in words is "forty-five billion, one hundred fifty-one million, six hundred fifty-seven thousand, nine hundred fifty-six".