13536064512 has 264 divisors, whose sum is σ = 42943767360. Its totient is φ = 4087480320.

The previous prime is 13536064511. The next prime is 13536064559. The reversal of 13536064512 is 21546063531.

13536064512 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 6 + 0 + 645 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13536064511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4025712 + ... + 4029072.

Almost surely, 2^13536064512 is an apocalyptic number.

13536064512 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 13536064512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21471883680).

13536064512 is an abundant number, since it is smaller than the sum of its proper divisors (29407702848).

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

13536064512 is a wasteful number, since it uses less digits than its factorization.

13536064512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3429 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 13536064512 in words is "thirteen billion, five hundred thirty-six million, sixty-four thousand, five hundred twelve".