12961910664 has 96 divisors (see below), whose sum is σ = 35512045920. Its totient is φ = 4270745088.

The previous prime is 12961910657. The next prime is 12961910677. The reversal of 12961910664 is 46601916921.

It is a happy number.

12961910664 is a `hidden beast` number, since 1 + 29 + 619 + 1 + 0 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×12961910664² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4027584 + ... + 4030800.

It is an arithmetic number, because the mean of its divisors is an integer number (369917145).

Almost surely, 2^12961910664 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 12961910664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17756022960).

12961910664 is an abundant number, since it is smaller than the sum of its proper divisors (22550135256).

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

12961910664 is a wasteful number, since it uses less digits than its factorization.

12961910664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 12961910664 in words is "twelve billion, nine hundred sixty-one million, nine hundred ten thousand, six hundred sixty-four".