13906938947088 has 240 divisors, whose sum is σ = 40610745190400. Its totient is φ = 4095519563520.

The previous prime is 13906938947059. The next prime is 13906938947093. The reversal of 13906938947088 is 88074983960931.

13906938947088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49559145 + ... + 49838967.

Almost surely, 2^{13906938947088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13906938947088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20305372595200).

13906938947088 is an abundant number, since it is smaller than the sum of its proper divisors (26703806243312).

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

13906938947088 is a wasteful number, since it uses less digits than its factorization.

13906938947088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280098 (or 280081 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 75.

The spelling of 13906938947088 in words is "thirteen trillion, nine hundred six billion, nine hundred thirty-eight million, nine hundred forty-seven thousand, eighty-eight".