45104656 has 45 divisors (see below), whose sum is σ = 92623629. Its totient is φ = 21276288.

The previous prime is 45104639. The next prime is 45104671. The reversal of 45104656 is 65640154.

The square root of 45104656 is 6716.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25603600 + 19501056 = 5060^2 + 4416^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 617836 + ... + 617908.

Almost surely, 2^45104656 is an apocalyptic number.

45104656 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

45104656 is the 6716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45104656

45104656 is an abundant number, since it is smaller than the sum of its proper divisors (47518973).

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

45104656 is an equidigital number, since it uses as much as digits as its factorization.

45104656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The cubic root of 45104656 is about 355.9648578702.

Multiplying 45104656 by its product of nonzero digits (14400), we get a square (649507046400 = 805920²).

The spelling of 45104656 in words is "forty-five million, one hundred four thousand, six hundred fifty-six".