16946792816 has 80 divisors (see below), whose sum is σ = 35916748800. Its totient is φ = 7716384000.

The previous prime is 16946792801. The next prime is 16946792857. The reversal of 16946792816 is 61829764961.

16946792816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1417070 + ... + 1428978.

It is an arithmetic number, because the mean of its divisors is an integer number (448959360).

Almost surely, 2^16946792816 is an apocalyptic number.

16946792816 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 16946792816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17958374400).

16946792816 is an abundant number, since it is smaller than the sum of its proper divisors (18969955984).

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

16946792816 is a wasteful number, since it uses less digits than its factorization.

16946792816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12118 (or 12112 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 59.

The spelling of 16946792816 in words is "sixteen billion, nine hundred forty-six million, seven hundred ninety-two thousand, eight hundred sixteen".