13340792016 has 100 divisors (see below), whose sum is σ = 38868402144. Its totient is φ = 4417416000.

The previous prime is 13340791969. The next prime is 13340792029. The reversal of 13340792016 is 61029704331.

It is a super-2 number, since 2×13340792016² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 161611 + ... + 229781.

Almost surely, 2^13340792016 is an apocalyptic number.

13340792016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13340792016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19434201072).

13340792016 is an abundant number, since it is smaller than the sum of its proper divisors (25527610128).

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

13340792016 is a wasteful number, since it uses less digits than its factorization.

13340792016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68342 (or 68327 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 13340792016 in words is "thirteen billion, three hundred forty million, seven hundred ninety-two thousand, sixteen".