13412806416 has 80 divisors (see below), whose sum is σ = 38745139200. Its totient is φ = 4442435712.

The previous prime is 13412806411. The next prime is 13412806481. The reversal of 13412806416 is 61460821431.

13412806416 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 2 + 8 + 0 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13412806411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31056 + ... + 166703.

It is an arithmetic number, because the mean of its divisors is an integer number (484314240).

Almost surely, 2^13412806416 is an apocalyptic number.

13412806416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13412806416 is an abundant number, since it is smaller than the sum of its proper divisors (25332332784).

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

13412806416 is a wasteful number, since it uses less digits than its factorization.

13412806416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197933 (or 197921 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 13412806416 in words is "thirteen billion, four hundred twelve million, eight hundred six thousand, four hundred sixteen".