13600609344 has 168 divisors, whose sum is σ = 46511443680. Its totient is φ = 3885864192.

The previous prime is 13600609301. The next prime is 13600609361. The reversal of 13600609344 is 44390600631.

13600609344 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 0 + 609 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×13600609344² (a number of 21 digits) contains 22 as substring.

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 = 13600609299 and 13600609308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4359 + ... + 164985.

Almost surely, 2^13600609344 is an apocalyptic number.

13600609344 is a gapful number since it is divisible by the number (14) 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 13600609344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23255721840).

13600609344 is an abundant number, since it is smaller than the sum of its proper divisors (32910834336).

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

13600609344 is a wasteful number, since it uses less digits than its factorization.

13600609344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160662 (or 160639 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 13600609344 in words is "thirteen billion, six hundred million, six hundred nine thousand, three hundred forty-four".