13596608134656 has 120 divisors (see below), whose sum is σ = 39264960982104. Its totient is φ = 4529404293120.

The previous prime is 13596608134601. The next prime is 13596608134661. The reversal of 13596608134656 is 65643180669531.

13596608134656 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 6 + 608 + 13 + 4 + 6 + 5 + 6 = 666.

It is a super-3 number, since 3×13596608134656³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13596608134593 and 13596608134602.

It is a congruent number.

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, 6559435 + ... + 8379701.

Almost surely, 2^{13596608134656} is an apocalyptic number.

13596608134656 is a gapful number since it is divisible by the number (16) 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 13596608134656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19632480491052).

13596608134656 is an abundant number, since it is smaller than the sum of its proper divisors (25668352847448).

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

13596608134656 is a wasteful number, since it uses less digits than its factorization.

13596608134656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821912 (or 1821893 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 13596608134656 in words is "thirteen trillion, five hundred ninety-six billion, six hundred eight million, one hundred thirty-four thousand, six hundred fifty-six".