16792512321312 has 864 divisors, whose sum is σ = 60419323364400. Its totient is φ = 4384909541376.

The previous prime is 16792512321301. The next prime is 16792512321383. The reversal of 16792512321312 is 21312321529761.

16792512321312 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 2 + 5 + 1 + 2 + 321 + 312 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 16749080094096 + 43432227216 = 4092564^2 + 208404^2 .

It is a super-2 number, since 2×16792512321312² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8276249514 + ... + 8276251542.

Almost surely, 2^{16792512321312} is an apocalyptic number.

16792512321312 is a gapful number since it is divisible by the number (12) 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 16792512321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30209661682200).

16792512321312 is an abundant number, since it is smaller than the sum of its proper divisors (43626811043088).

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

16792512321312 is a wasteful number, since it uses less digits than its factorization.

16792512321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2480 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 16792512321312 in words is "sixteen trillion, seven hundred ninety-two billion, five hundred twelve million, three hundred twenty-one thousand, three hundred twelve".