13679116000 has 96 divisors (see below), whose sum is σ = 36665123040. Its totient is φ = 4974208000.

The previous prime is 13679115971. The next prime is 13679116007. The reversal of 13679116000 is 61197631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13679116007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111445 + ... + 199444.

It is an arithmetic number, because the mean of its divisors is an integer number (381928365).

Almost surely, 2^13679116000 is an apocalyptic number.

13679116000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13679116000 is an abundant number, since it is smaller than the sum of its proper divisors (22986007040).

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

13679116000 is a wasteful number, since it uses less digits than its factorization.

13679116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310925 (or 310907 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The spelling of 13679116000 in words is "thirteen billion, six hundred seventy-nine million, one hundred sixteen thousand".