22316216832 has 480 divisors, whose sum is σ = 83470907520. Its totient is φ = 5573836800.

The previous prime is 22316216809. The next prime is 22316216869. The reversal of 22316216832 is 23861261322.

22316216832 is a `hidden beast` number, since 2 + 23 + 1 + 621 + 6 + 8 + 3 + 2 = 666.

It is a super-3 number, since 3×22316216832³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7965832 + ... + 7968632.

It is an arithmetic number, because the mean of its divisors is an integer number (173897724).

Almost surely, 2^22316216832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22316216832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41735453760).

22316216832 is an abundant number, since it is smaller than the sum of its proper divisors (61154690688).

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

22316216832 is a wasteful number, since it uses less digits than its factorization.

22316216832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2845 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 22316216832 in words is "twenty-two billion, three hundred sixteen million, two hundred sixteen thousand, eight hundred thirty-two".