16885794816 has 768 divisors, whose sum is σ = 61138022400. Its totient is φ = 4541644800.

The previous prime is 16885794797. The next prime is 16885794949. The reversal of 16885794816 is 61849758861.

16885794816 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 579 + 48 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-4 number, since 4×16885794816⁴ (a number of 42 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237828061 + ... + 237828131.

It is an arithmetic number, because the mean of its divisors is an integer number (79606800).

Almost surely, 2^16885794816 is an apocalyptic number.

16885794816 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 16885794816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30569011200).

16885794816 is an abundant number, since it is smaller than the sum of its proper divisors (44252227584).

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

16885794816 is a wasteful number, since it uses less digits than its factorization.

16885794816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 127 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 63.

The spelling of 16885794816 in words is "sixteen billion, eight hundred eighty-five million, seven hundred ninety-four thousand, eight hundred sixteen".