12135732864 has 64 divisors (see below), whose sum is σ = 32323751040. Its totient is φ = 4034174976.

The previous prime is 12135732859. The next prime is 12135732883. The reversal of 12135732864 is 46823753121.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97872 + ... + 183984.

It is an arithmetic number, because the mean of its divisors is an integer number (505058610).

Almost surely, 2^12135732864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12135732864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16161875520).

12135732864 is an abundant number, since it is smaller than the sum of its proper divisors (20188018176).

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

12135732864 is an equidigital number, since it uses as much as digits as its factorization.

12135732864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86497 (or 86485 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The spelling of 12135732864 in words is "twelve billion, one hundred thirty-five million, seven hundred thirty-two thousand, eight hundred sixty-four".