22332516480 has 384 divisors, whose sum is σ = 84687482880. Its totient is φ = 5604360192.

The previous prime is 22332516413. The next prime is 22332516523. The reversal of 22332516480 is 8461523322.

22332516480 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 2 + 5 + 1 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 2639617 + ... + 2648063.

It is an arithmetic number, because the mean of its divisors is an integer number (220540320).

Almost surely, 2^22332516480 is an apocalyptic number.

22332516480 is a gapful number since it is divisible by the number (20) 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 22332516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42343741440).

22332516480 is an abundant number, since it is smaller than the sum of its proper divisors (62354966400).

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

22332516480 is an equidigital number, since it uses as much as digits as its factorization.

22332516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8498 (or 8474 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 22332516480 in words is "twenty-two billion, three hundred thirty-two million, five hundred sixteen thousand, four hundred eighty".