656416556544 has 480 divisors, whose sum is σ = 2099867742720. Its totient is φ = 181592506368.

The previous prime is 656416556533. The next prime is 656416556563. The reversal of 656416556544 is 445655614656.

It is a happy number.

Its product of digits (51840000) is a multiple of the sum of its prime factors (2250).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315129327 + ... + 315131409.

It is an arithmetic number, because the mean of its divisors is an integer number (4374724464).

Almost surely, 2^656416556544 is an apocalyptic number.

656416556544 is a gapful number since it is divisible by the number (64) 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 656416556544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049933871360).

656416556544 is an abundant number, since it is smaller than the sum of its proper divisors (1443451186176).

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

656416556544 is a wasteful number, since it uses less digits than its factorization.

656416556544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2227 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 57.

The spelling of 656416556544 in words is "six hundred fifty-six billion, four hundred sixteen million, five hundred fifty-six thousand, five hundred forty-four".