12946508856 has 128 divisors (see below), whose sum is σ = 37007150400. Its totient is φ = 4191782400.

The previous prime is 12946508851. The next prime is 12946508863. The reversal of 12946508856 is 65880564921.

12946508856 is a `hidden beast` number, since 12 + 9 + 46 + 508 + 85 + 6 = 666.

It is a super-2 number, since 2×12946508856² (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 not an unprimeable number, because it can be changed into a prime (12946508851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1150650 + ... + 1161846.

Almost surely, 2^12946508856 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 12946508856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18503575200).

12946508856 is an abundant number, since it is smaller than the sum of its proper divisors (24060641544).

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

12946508856 is a wasteful number, since it uses less digits than its factorization.

12946508856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11366 (or 11356 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 12946508856 in words is "twelve billion, nine hundred forty-six million, five hundred eight thousand, eight hundred fifty-six".