13601164644 has 36 divisors (see below), whose sum is σ = 35029419516. Its totient is φ = 4448179008.

The previous prime is 13601164627. The next prime is 13601164651. The reversal of 13601164644 is 44646110631.

13601164644 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 1 + 1 + 6 + 4 + 644 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11180524644 + 2420640000 = 105738^2 + 49200^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 13601164599 and 13601164608.

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, 3562339 + ... + 3566154.

It is an arithmetic number, because the mean of its divisors is an integer number (973039431).

Almost surely, 2^13601164644 is an apocalyptic number.

It is an amenable number.

13601164644 is an abundant number, since it is smaller than the sum of its proper divisors (21428254872).

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

13601164644 is a wasteful number, since it uses less digits than its factorization.

13601164644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7128556 (or 7128551 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13601164644 in words is "thirteen billion, six hundred one million, one hundred sixty-four thousand, six hundred forty-four".