656215022144 has 112 divisors (see below), whose sum is σ = 1438846804800. Its totient is φ = 294449971200.

The previous prime is 656215022131. The next prime is 656215022207. The reversal of 656215022144 is 441220512656.

It is a junction number, because it is equal to n+sod(n) for n = 656215022098 and 656215022107.

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 15 ways as a sum of consecutive naturals, for example, 40154327 + ... + 40170665.

Almost surely, 2^656215022144 is an apocalyptic number.

656215022144 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 656215022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719423402400).

656215022144 is an abundant number, since it is smaller than the sum of its proper divisors (782631782656).

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

656215022144 is a wasteful number, since it uses less digits than its factorization.

656215022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17092 (or 17082 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 656215022144 in words is "six hundred fifty-six billion, two hundred fifteen million, twenty-two thousand, one hundred forty-four".