45856656 has 120 divisors (see below), whose sum is σ = 135408000. Its totient is φ = 14466816.

The previous prime is 45856649. The next prime is 45856661. The reversal of 45856656 is 65665854.

It is a happy number.

45856656 is a `hidden beast` number, since 4 + 585 + 6 + 65 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 329835 + ... + 329973.

It is an arithmetic number, because the mean of its divisors is an integer number (1128400).

Almost surely, 2^45856656 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 45856656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67704000).

45856656 is an abundant number, since it is smaller than the sum of its proper divisors (89551344).

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

45856656 is a wasteful number, since it uses less digits than its factorization.

45856656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 45856656 is about 6771.7542778810. The cubic root of 45856656 is about 357.9322198282.

The spelling of 45856656 in words is "forty-five million, eight hundred fifty-six thousand, six hundred fifty-six".