13284418264272 has 60 divisors (see below), whose sum is σ = 37196764700004. Its totient is φ = 4425894958080.

The previous prime is 13284418264253. The next prime is 13284418264309. The reversal of 13284418264272 is 27246281448231.

13284418264272 is a `hidden beast` number, since 1 + 32 + 8 + 4 + 4 + 182 + 6 + 427 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8270777802816 + 5013640461456 = 2875896^2 + 2239116^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23094729 + ... + 23662952.

Almost surely, 2^{13284418264272} is an apocalyptic number.

13284418264272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13284418264272 is an abundant number, since it is smaller than the sum of its proper divisors (23912346435732).

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

13284418264272 is a wasteful number, since it uses less digits than its factorization.

13284418264272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46759668 (or 46759659 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 13284418264272 in words is "thirteen trillion, two hundred eighty-four billion, four hundred eighteen million, two hundred sixty-four thousand, two hundred seventy-two".