13889093904 has 405 divisors, whose sum is σ = 48055309029. Its totient is φ = 3733551360.

The previous prime is 13889093893. The next prime is 13889093941. The reversal of 13889093904 is 40939098831.

The square root of 13889093904 is 117852.

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

13889093904 is a `hidden beast` number, since 1 + 388 + 90 + 93 + 90 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 451647504 + 13437446400 = 21252^2 + 115920^2 .

It is a super-2 number, since 2×13889093904² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 227690034 + ... + 227690094.

Almost surely, 2^13889093904 is an apocalyptic number.

13889093904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13889093904 is the 117852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13889093904

13889093904 is an abundant number, since it is smaller than the sum of its proper divisors (34166215125).

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

13889093904 is a wasteful number, since it uses less digits than its factorization.

13889093904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 13889093904 in words is "thirteen billion, eight hundred eighty-nine million, ninety-three thousand, nine hundred four".