12261655764 has 144 divisors (see below), whose sum is σ = 33761145600. Its totient is φ = 3740470272.

The previous prime is 12261655727. The next prime is 12261655781. The reversal of 12261655764 is 46755616221.

12261655764 is a `hidden beast` number, since 1 + 2 + 26 + 16 + 557 + 64 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2711097 + ... + 2715615.

It is an arithmetic number, because the mean of its divisors is an integer number (234452400).

Almost surely, 2^12261655764 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 12261655764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16880572800).

12261655764 is an abundant number, since it is smaller than the sum of its proper divisors (21499489836).

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

12261655764 is a wasteful number, since it uses less digits than its factorization.

12261655764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4694 (or 4689 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 12261655764 in words is "twelve billion, two hundred sixty-one million, six hundred fifty-five thousand, seven hundred sixty-four".