13845610656 has 72 divisors (see below), whose sum is σ = 41085364320. Its totient is φ = 4414540416.

The previous prime is 13845610613. The next prime is 13845610673. The reversal of 13845610656 is 65601654831.

13845610656 is a `hidden beast` number, since 1 + 3 + 84 + 561 + 0 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1038486 + ... + 1051733.

It is an arithmetic number, because the mean of its divisors is an integer number (570630060).

Almost surely, 2^13845610656 is an apocalyptic number.

13845610656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13845610656 is an abundant number, since it is smaller than the sum of its proper divisors (27239753664).

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

13845610656 is a wasteful number, since it uses less digits than its factorization.

13845610656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090258 (or 2090247 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 13845610656 in words is "thirteen billion, eight hundred forty-five million, six hundred ten thousand, six hundred fifty-six".