13362406304 has 48 divisors (see below), whose sum is σ = 28357090272. Its totient is φ = 6161557248.

The previous prime is 13362406289. The next prime is 13362406319. The reversal of 13362406304 is 40360426331.

It is an interprime number because it is at equal distance from previous prime (13362406289) and next prime (13362406319).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452867 + ... + 481469.

It is an arithmetic number, because the mean of its divisors is an integer number (590772714).

Almost surely, 2^13362406304 is an apocalyptic number.

It is an amenable number.

13362406304 is an abundant number, since it is smaller than the sum of its proper divisors (14994683968).

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

13362406304 is a wasteful number, since it uses less digits than its factorization.

13362406304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29749 (or 29741 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The spelling of 13362406304 in words is "thirteen billion, three hundred sixty-two million, four hundred six thousand, three hundred four".