13386561329232 has 720 divisors, whose sum is σ = 47678857524480. Its totient is φ = 3474677606400.

The previous prime is 13386561329177. The next prime is 13386561329243. The reversal of 13386561329232 is 23292316568331.

13386561329232 is a `hidden beast` number, since 1 + 3 + 3 + 86 + 5 + 6 + 1 + 329 + 232 = 666.

It is a super-2 number, since 2×13386561329232² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2398592682 + ... + 2398598262.

Almost surely, 2^{13386561329232} is an apocalyptic number.

13386561329232 is a gapful number since it is divisible by the number (12) 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 13386561329232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23839428762240).

13386561329232 is an abundant number, since it is smaller than the sum of its proper divisors (34292296195248).

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

13386561329232 is a wasteful number, since it uses less digits than its factorization.

13386561329232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6032 (or 6016 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 13386561329232 in words is "thirteen trillion, three hundred eighty-six billion, five hundred sixty-one million, three hundred twenty-nine thousand, two hundred thirty-two".