13933163790 has 768 divisors, whose sum is σ = 52080537600. Its totient is φ = 2496282624.

The previous prime is 13933163779. The next prime is 13933163833. The reversal of 13933163790 is 9736133931.

13933163790 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 3 + 1 + 637 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 60843396 + ... + 60843624.

It is an arithmetic number, because the mean of its divisors is an integer number (67813200).

Almost surely, 2^13933163790 is an apocalyptic number.

13933163790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13933163790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26040268800).

13933163790 is an abundant number, since it is smaller than the sum of its proper divisors (38147373810).

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

13933163790 is a wasteful number, since it uses less digits than its factorization.

13933163790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 275562, while the sum is 45.

The spelling of 13933163790 in words is "thirteen billion, nine hundred thirty-three million, one hundred sixty-three thousand, seven hundred ninety".