13839640164 has 81 divisors (see below), whose sum is σ = 40709666361. Its totient is φ = 3952771200.

The previous prime is 13839640153. The next prime is 13839640181. The reversal of 13839640164 is 46104693831.

The square root of 13839640164 is 117642.

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

It can be written as a sum of positive squares in only one way, i.e., 7063057764 + 6776582400 = 84042^2 + 82320^2 .

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, 4939564 + ... + 4942364.

Almost surely, 2^13839640164 is an apocalyptic number.

13839640164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13839640164 is the 117642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13839640164

13839640164 is an abundant number, since it is smaller than the sum of its proper divisors (26870026197).

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

13839640164 is an equidigital number, since it uses as much as digits as its factorization.

13839640164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5626 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 13839640164 in words is "thirteen billion, eight hundred thirty-nine million, six hundred forty thousand, one hundred sixty-four".