16823832100416 has 896 divisors, whose sum is σ = 56836365189120. Its totient is φ = 4835042150400.

The previous prime is 16823832100381. The next prime is 16823832100433. The reversal of 16823832100416 is 61400123832861.

16823832100416 is a `hidden beast` number, since 16 + 8 + 2 + 3 + 8 + 3 + 210 + 0 + 416 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3888103245 + ... + 3888107571.

Almost surely, 2^{16823832100416} is an apocalyptic number.

16823832100416 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 16823832100416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28418182594560).

16823832100416 is an abundant number, since it is smaller than the sum of its proper divisors (40012533088704).

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

16823832100416 is a wasteful number, since it uses less digits than its factorization.

16823832100416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4540 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 16823832100416 in words is "sixteen trillion, eight hundred twenty-three billion, eight hundred thirty-two million, one hundred thousand, four hundred sixteen".