13902249432096 has 36 divisors (see below), whose sum is σ = 39534521823342. Its totient is φ = 4634083143936.

The previous prime is 13902249432077. The next prime is 13902249432107. The reversal of 13902249432096 is 69023494220931.

13902249432096 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 224 + 9 + 4 + 320 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7433060660496 + 6469188771600 = 2726364^2 + 2543460^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24135849421 + ... + 24135849996.

Almost surely, 2^{13902249432096} is an apocalyptic number.

13902249432096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13902249432096 is an abundant number, since it is smaller than the sum of its proper divisors (25632272391246).

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

13902249432096 is a wasteful number, since it uses less digits than its factorization.

13902249432096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48271699433 (or 48271699422 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 13902249432096 in words is "thirteen trillion, nine hundred two billion, two hundred forty-nine million, four hundred thirty-two thousand, ninety-six".