12639782016 has 48 divisors (see below), whose sum is σ = 36372292710. Its totient is φ = 4213260288.

The previous prime is 12639781991. The next prime is 12639782033. The reversal of 12639782016 is 61028793621.

12639782016 is a `hidden beast` number, since 1 + 2 + 639 + 7 + 8 + 2 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9082852416 + 3556929600 = 95304^2 + 59640^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5484865 + ... + 5487168.

Almost surely, 2^12639782016 is an apocalyptic number.

12639782016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12639782016 is an abundant number, since it is smaller than the sum of its proper divisors (23732510694).

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

12639782016 is a wasteful number, since it uses less digits than its factorization.

12639782016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10972053 (or 10972038 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12639782016 in words is "twelve billion, six hundred thirty-nine million, seven hundred eighty-two thousand, sixteen".