45064656 has 240 divisors, whose sum is σ = 164295040. Its totient is φ = 11197440.

The previous prime is 45064619. The next prime is 45064687. The reversal of 45064656 is 65646054.

45064656 = T₃₂₁ + T₃₂₂ + ... + T₆₇₁.

It is a happy number.

45064656 is a `hidden beast` number, since 4 + 5 + 0 + 646 + 5 + 6 = 666.

45064656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45064656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248886 + ... + 249066.

Almost surely, 2^45064656 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 45064656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82147520).

45064656 is an abundant number, since it is smaller than the sum of its proper divisors (119230384).

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

45064656 is a wasteful number, since it uses less digits than its factorization.

45064656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 45064656 is about 6713.0213763998. The cubic root of 45064656 is about 355.8596004037.

The spelling of 45064656 in words is "forty-five million, sixty-four thousand, six hundred fifty-six".