13638160512 has 160 divisors (see below), whose sum is σ = 42974967420. Its totient is φ = 4278583296.

The previous prime is 13638160507. The next prime is 13638160531. The reversal of 13638160512 is 21506183631.

13638160512 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 81 + 60 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13554547776 + 83612736 = 116424^2 + 9144^2 .

It is a super-2 number, since 2×13638160512² (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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 137568 + ... + 214944.

Almost surely, 2^13638160512 is an apocalyptic number.

13638160512 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 13638160512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21487483710).

13638160512 is an abundant number, since it is smaller than the sum of its proper divisors (29336806908).

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

13638160512 is an equidigital number, since it uses as much as digits as its factorization.

13638160512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77420 (or 77399 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13638160512 in words is "thirteen billion, six hundred thirty-eight million, one hundred sixty thousand, five hundred twelve".