13869833338400 has 72 divisors (see below), whose sum is σ = 36464325329124. Its totient is φ = 5121169228800.

The previous prime is 13869833338363. The next prime is 13869833338519. The reversal of 13869833338400 is 483333896831.

13869833338400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7396289430544 + 6473543907856 = 2719612^2 + 2544316^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13869833338400.

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, 666808511 + ... + 666829310.

Almost surely, 2^{13869833338400} is an apocalyptic number.

13869833338400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13869833338400 is an abundant number, since it is smaller than the sum of its proper divisors (22594491990724).

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

13869833338400 is a wasteful number, since it uses less digits than its factorization.

13869833338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333637854 (or 1333637841 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 59.

The spelling of 13869833338400 in words is "thirteen trillion, eight hundred sixty-nine billion, eight hundred thirty-three million, three hundred thirty-eight thousand, four hundred".