45656577220320 has 288 divisors, whose sum is σ = 179965044211680. Its totient is φ = 10417186897920.

The previous prime is 45656577220307. The next prime is 45656577220321. The reversal of 45656577220320 is 2302277565654.

45656577220320 is a `hidden beast` number, since 4 + 5 + 6 + 565 + 7 + 72 + 2 + 0 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45656577220321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84506005 + ... + 85044564.

It is an arithmetic number, because the mean of its divisors is an integer number (624878625735).

Almost surely, 2^{45656577220320} is an apocalyptic number.

45656577220320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45656577220320 is an abundant number, since it is smaller than the sum of its proper divisors (134308466991360).

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

45656577220320 is a wasteful number, since it uses less digits than its factorization.

45656577220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169550618 (or 169550607 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 54.

The spelling of 45656577220320 in words is "forty-five trillion, six hundred fifty-six billion, five hundred seventy-seven million, two hundred twenty thousand, three hundred twenty".