13979310345 has 512 divisors, whose sum is σ = 35672555520. Its totient is φ = 5007744000.

The previous prime is 13979310329. The next prime is 13979310353. The reversal of 13979310345 is 54301397931.

It is not a de Polignac number, because 13979310345 - 2⁴ = 13979310329 is a prime.

It is a super-2 number, since 2×13979310345² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13979310345.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 196891660 + ... + 196891730.

It is an arithmetic number, because the mean of its divisors is an integer number (69672960).

Almost surely, 2^13979310345 is an apocalyptic number.

13979310345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13979310345 is an abundant number, since it is smaller than the sum of its proper divisors (21693245175).

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

13979310345 is a wasteful number, since it uses less digits than its factorization.

13979310345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 13979310345 in words is "thirteen billion, nine hundred seventy-nine million, three hundred ten thousand, three hundred forty-five".