22921435824 has 160 divisors (see below), whose sum is σ = 68448952320. Its totient is φ = 6474297600.

The previous prime is 22921435819. The next prime is 22921435843. The reversal of 22921435824 is 42853412922.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12655879 + ... + 12657689.

It is an arithmetic number, because the mean of its divisors is an integer number (427805952).

Almost surely, 2^22921435824 is an apocalyptic number.

22921435824 is a gapful number since it is divisible by the number (24) 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 22921435824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34224476160).

22921435824 is an abundant number, since it is smaller than the sum of its proper divisors (45527516496).

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

22921435824 is a wasteful number, since it uses less digits than its factorization.

22921435824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2233 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The spelling of 22921435824 in words is "twenty-two billion, nine hundred twenty-one million, four hundred thirty-five thousand, eight hundred twenty-four".