12832090656 has 144 divisors (see below), whose sum is σ = 42314352192. Its totient is φ = 3332989440.

The previous prime is 12832090651. The next prime is 12832090673. The reversal of 12832090656 is 65609023821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12832090651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2406 + ... + 160218.

It is an arithmetic number, because the mean of its divisors is an integer number (293849668).

Almost surely, 2^12832090656 is an apocalyptic number.

12832090656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12832090656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21157176096).

12832090656 is an abundant number, since it is smaller than the sum of its proper divisors (29482261536).

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

12832090656 is a wasteful number, since it uses less digits than its factorization.

12832090656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157855 (or 157836 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 12832090656 in words is "twelve billion, eight hundred thirty-two million, ninety thousand, six hundred fifty-six".