13906838937600 has 3360 divisors, whose sum is σ = 63430916161536. Its totient is φ = 2942985830400.

The previous prime is 13906838937571. The next prime is 13906838937617. The reversal of 13906838937600 is 673983860931.

13906838937600 is a `hidden beast` number, since 1 + 390 + 6 + 83 + 89 + 37 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 109502668737 + ... + 109502668863.

Almost surely, 2^{13906838937600} is an apocalyptic number.

13906838937600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13906838937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31715458080768).

13906838937600 is an abundant number, since it is smaller than the sum of its proper divisors (49524077223936).

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

13906838937600 is a wasteful number, since it uses less digits than its factorization.

13906838937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 13906838937600 in words is "thirteen trillion, nine hundred six billion, eight hundred thirty-eight million, nine hundred thirty-seven thousand, six hundred".