45008656 has 120 divisors (see below), whose sum is σ = 117554976. Its totient is φ = 16450560.

The previous prime is 45008653. The next prime is 45008699. The reversal of 45008656 is 65680054.

It is a super-2 number, since 2×45008656² = 4051558229852672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (45008651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146455 + ... + 146761.

Almost surely, 2^45008656 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 45008656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58777488).

45008656 is an abundant number, since it is smaller than the sum of its proper divisors (72546320).

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

45008656 is a wasteful number, since it uses less digits than its factorization.

45008656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 45008656 is about 6708.8490816235. The cubic root of 45008656 is about 355.7121352598.

The spelling of 45008656 in words is "forty-five million, eight thousand, six hundred fifty-six".