12646984896 has 1120 divisors, whose sum is σ = 52046184960. Its totient is φ = 2938208256.

The previous prime is 12646984873. The next prime is 12646984901. The reversal of 12646984896 is 69848964621.

12646984896 is a `hidden beast` number, since 1 + 2 + 6 + 469 + 84 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (35831808) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 152373271 + ... + 152373353.

It is an arithmetic number, because the mean of its divisors is an integer number (46469808).

Almost surely, 2^12646984896 is an apocalyptic number.

12646984896 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 12646984896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26023092480).

12646984896 is an abundant number, since it is smaller than the sum of its proper divisors (39399200064).

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

12646984896 is a wasteful number, since it uses less digits than its factorization.

12646984896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 12646984896 in words is "twelve billion, six hundred forty-six million, nine hundred eighty-four thousand, eight hundred ninety-six".