12967338564 has 36 divisors (see below), whose sum is σ = 33835925760. Its totient is φ = 4183012080.

The previous prime is 12967338551. The next prime is 12967338569. The reversal of 12967338564 is 46583376921.

12967338564 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 73 + 3 + 8 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×12967338564³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12967338564.

It is not an unprimeable number, because it can be changed into a prime (12967338569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5808624 + ... + 5810855.

Almost surely, 2^12967338564 is an apocalyptic number.

It is an amenable number.

12967338564 is an abundant number, since it is smaller than the sum of its proper divisors (20868587196).

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

12967338564 is a wasteful number, since it uses less digits than its factorization.

12967338564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11619520 (or 11619515 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 12967338564 in words is "twelve billion, nine hundred sixty-seven million, three hundred thirty-eight thousand, five hundred sixty-four".