22973884416 has 576 divisors, whose sum is σ = 81041688000. Its totient is φ = 6409912320.

The previous prime is 22973884403. The next prime is 22973884433. The reversal of 22973884416 is 61448837922.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×22973884416² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 165279675 + ... + 165279813.

It is an arithmetic number, because the mean of its divisors is an integer number (140697375).

Almost surely, 2^22973884416 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 22973884416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40520844000).

22973884416 is an abundant number, since it is smaller than the sum of its proper divisors (58067803584).

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

22973884416 is a wasteful number, since it uses less digits than its factorization.

22973884416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 212 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 22973884416 in words is "twenty-two billion, nine hundred seventy-three million, eight hundred eighty-four thousand, four hundred sixteen".