16622904816 has 480 divisors, whose sum is σ = 58087710720. Its totient is φ = 4333824000.

The previous prime is 16622904811. The next prime is 16622904821. The reversal of 16622904816 is 61840922661.

16622904816 is a `hidden beast` number, since 1 + 6 + 622 + 9 + 0 + 4 + 8 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (16622904811) and next prime (16622904821).

It is a super-3 number, since 3×16622904816³ (a number of 32 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16622904811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72588990 + ... + 72589218.

It is an arithmetic number, because the mean of its divisors is an integer number (121016064).

Almost surely, 2^16622904816 is an apocalyptic number.

16622904816 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 16622904816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29043855360).

16622904816 is an abundant number, since it is smaller than the sum of its proper divisors (41464805904).

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

16622904816 is a wasteful number, since it uses less digits than its factorization.

16622904816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 16622904816 in words is "sixteen billion, six hundred twenty-two million, nine hundred four thousand, eight hundred sixteen".