12167883264 has 80 divisors (see below), whose sum is σ = 32471394912. Its totient is φ = 4049031168.

The previous prime is 12167883257. The next prime is 12167883289. The reversal of 12167883264 is 46238876121.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 935107 + ... + 948029.

Almost surely, 2^12167883264 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 12167883264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16235697456).

12167883264 is an abundant number, since it is smaller than the sum of its proper divisors (20303511648).

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

12167883264 is an equidigital number, since it uses as much as digits as its factorization.

12167883264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13557 (or 13541 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The spelling of 12167883264 in words is "twelve billion, one hundred sixty-seven million, eight hundred eighty-three thousand, two hundred sixty-four".