13426320384 has 297 divisors, whose sum is σ = 41771047201. Its totient is φ = 4152852480.

The previous prime is 13426320343. The next prime is 13426320431. The reversal of 13426320384 is 48302362431.

The square root of 13426320384 is 115872.

It is a perfect power (a square), and thus also a powerful number.

13426320384 is a `hidden beast` number, since 13 + 4 + 2 + 632 + 0 + 3 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10453017600 + 2973302784 = 102240^2 + 54528^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 189103069 + ... + 189103139.

Almost surely, 2^13426320384 is an apocalyptic number.

13426320384 is the 115872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13426320384

13426320384 is an abundant number, since it is smaller than the sum of its proper divisors (28344726817).

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

13426320384 is an equidigital number, since it uses as much as digits as its factorization.

13426320384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Multiplying 13426320384 by its sum of digits (36), we get a square (483347533824 = 695232²).

13426320384 divided by its sum of digits (36) gives a square (372953344 = 19312²).

The spelling of 13426320384 in words is "thirteen billion, four hundred twenty-six million, three hundred twenty thousand, three hundred eighty-four".