656645109120 has 1536 divisors, whose sum is σ = 3096011842560. Its totient is φ = 123818803200.

The previous prime is 656645109097. The next prime is 656645109143. The reversal of 656645109120 is 21901546656.

656645109120 is a `hidden beast` number, since 6 + 5 + 6 + 6 + 4 + 510 + 9 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (656645109097) and next prime (656645109143).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 351710427 + ... + 351712293.

It is an arithmetic number, because the mean of its divisors is an integer number (2015632710).

Almost surely, 2^656645109120 is an apocalyptic number.

656645109120 is a gapful number since it is divisible by the number (60) 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 656645109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548005921280).

656645109120 is an abundant number, since it is smaller than the sum of its proper divisors (2439366733440).

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

656645109120 is a wasteful number, since it uses less digits than its factorization.

656645109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 656645109120 in words is "six hundred fifty-six billion, six hundred forty-five million, one hundred nine thousand, one hundred twenty".