1656564931900 has 72 divisors (see below), whose sum is σ = 3644681819184. Its totient is φ = 653424652800.

The previous prime is 1656564931891. The next prime is 1656564931913. The reversal of 1656564931900 is 91394656561.

It is a super-2 number, since 2×1656564931900² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44737794 + ... + 44774806.

It is an arithmetic number, because the mean of its divisors is an integer number (50620580822).

Almost surely, 2^{1656564931900} is an apocalyptic number.

1656564931900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1656564931900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822340909592).

1656564931900 is an abundant number, since it is smaller than the sum of its proper divisors (1988116887284).

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

1656564931900 is a wasteful number, since it uses less digits than its factorization.

1656564931900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43231 (or 43224 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 55.

The spelling of 1656564931900 in words is "one trillion, six hundred fifty-six billion, five hundred sixty-four million, nine hundred thirty-one thousand, nine hundred".