13412968992 has 72 divisors (see below), whose sum is σ = 40386858876. Its totient is φ = 4207988736.

The previous prime is 13412968967. The next prime is 13412968997. The reversal of 13412968992 is 29986921431.

13412968992 is a `hidden beast` number, since 1 + 341 + 296 + 8 + 9 + 9 + 2 = 666.

13412968992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13345794576 + 67174416 = 115524^2 + 8196^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (13412968997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1364893 + ... + 1374684.

Almost surely, 2^13412968992 is an apocalyptic number.

13412968992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13412968992 is an abundant number, since it is smaller than the sum of its proper divisors (26973889884).

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

13412968992 is a wasteful number, since it uses less digits than its factorization.

13412968992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739610 (or 2739599 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 13412968992 in words is "thirteen billion, four hundred twelve million, nine hundred sixty-eight thousand, nine hundred ninety-two".