22976819712 has 810 divisors, whose sum is σ = 87813975249. Its totient is φ = 5762211840.

The previous prime is 22976819711. The next prime is 22976819713. The reversal of 22976819712 is 21791867922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (22976819711) and next prime (22976819713).

It can be written as a sum of positive squares in 2 ways, for example, as 22963159296 + 13660416 = 151536^2 + 3696^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=107184.

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

It is not an unprimeable number, because it can be changed into a prime (22976819711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 792304114 + ... + 792304142.

Almost surely, 2^22976819712 is an apocalyptic number.

22976819712 is a gapful number since it is divisible by the number (22) 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 22976819712

22976819712 is an abundant number, since it is smaller than the sum of its proper divisors (64837155537).

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

22976819712 is a wasteful number, since it uses less digits than its factorization.

22976819712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 52 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The spelling of 22976819712 in words is "twenty-two billion, nine hundred seventy-six million, eight hundred nineteen thousand, seven hundred twelve".