13682689776144 has 135 divisors (see below), whose sum is σ = 38510781052653. Its totient is φ = 4535047896192.

The previous prime is 13682689776113. The next prime is 13682689776169. The reversal of 13682689776144 is 44167798628631.

The square root of 13682689776144 is 3699012.

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

13682689776144 is a `hidden beast` number, since 1 + 368 + 26 + 89 + 77 + 61 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4629330921744 + 9053358854400 = 2151588^2 + 3008880^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8833239882 + ... + 8833241430.

Almost surely, 2^{13682689776144} is an apocalyptic number.

13682689776144 is the 3699012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13682689776144

13682689776144 is an abundant number, since it is smaller than the sum of its proper divisors (24828091276509).

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

13682689776144 is an frugal number, since it uses more digits than its factorization.

13682689776144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 1753 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 13682689776144 in words is "thirteen trillion, six hundred eighty-two billion, six hundred eighty-nine million, seven hundred seventy-six thousand, one hundred forty-four".