13645613160 has 80 divisors (see below), whose sum is σ = 45864432900. Its totient is φ = 3638829312.

The previous prime is 13645613131. The next prime is 13645613183. The reversal of 13645613160 is 6131654631.

13645613160 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 561 + 31 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12888152676 + 757460484 = 113526^2 + 27522^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2102565 + ... + 2109044.

Almost surely, 2^13645613160 is an apocalyptic number.

13645613160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13645613160 is an abundant number, since it is smaller than the sum of its proper divisors (32218819740).

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

13645613160 is a wasteful number, since it uses less digits than its factorization.

13645613160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211632 (or 4211619 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13645613160 in words is "thirteen billion, six hundred forty-five million, six hundred thirteen thousand, one hundred sixty".