12892465656 has 384 divisors, whose sum is σ = 44613216000. Its totient is φ = 3429216000.

The previous prime is 12892465643. The next prime is 12892465711. The reversal of 12892465656 is 65656429821.

12892465656 is a `hidden beast` number, since 128 + 9 + 2 + 465 + 6 + 56 = 666.

It is a super-2 number, since 2×12892465656² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12266331 + ... + 12267381.

It is an arithmetic number, because the mean of its divisors is an integer number (116180250).

Almost surely, 2^12892465656 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 12892465656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22306608000).

12892465656 is an abundant number, since it is smaller than the sum of its proper divisors (31720750344).

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

12892465656 is a wasteful number, since it uses less digits than its factorization.

12892465656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1143 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 12892465656 in words is "twelve billion, eight hundred ninety-two million, four hundred sixty-five thousand, six hundred fifty-six".