22960384312320 has 4752 divisors, whose sum is σ = 109955274614640. Its totient is φ = 4550926270464.

The previous prime is 22960384312303. The next prime is 22960384312337. The reversal of 22960384312320 is 2321348306922.

22960384312320 is a `hidden beast` number, since 2 + 2 + 9 + 6 + 0 + 3 + 8 + 4 + 312 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (22960384312303) and next prime (22960384312337).

It can be written as a sum of positive squares in 8 ways, for example, as 16131032064 + 22944253280256 = 127008^2 + 4790016^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 620550927342 + ... + 620550927378.

Almost surely, 2^{22960384312320} is an apocalyptic number.

22960384312320 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 22960384312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54977637307320).

22960384312320 is an abundant number, since it is smaller than the sum of its proper divisors (86994890302320).

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

22960384312320 is an equidigital number, since it uses as much as digits as its factorization.

22960384312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 22960384312320 in words is "twenty-two trillion, nine hundred sixty billion, three hundred eighty-four million, three hundred twelve thousand, three hundred twenty".