13930058688 has 448 divisors, whose sum is σ = 47314713600. Its totient is φ = 3592802304.

The previous prime is 13930058687. The next prime is 13930058693. The reversal of 13930058688 is 88685003931.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×13930058688² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13930058688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13930058687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45374631 + ... + 45374937.

It is an arithmetic number, because the mean of its divisors is an integer number (105613200).

Almost surely, 2^13930058688 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 13930058688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23657356800).

13930058688 is an abundant number, since it is smaller than the sum of its proper divisors (33384654912).

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

13930058688 is a wasteful number, since it uses less digits than its factorization.

13930058688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 13930058688 in words is "thirteen billion, nine hundred thirty million, fifty-eight thousand, six hundred eighty-eight".