22442346624 has 64 divisors (see below), whose sum is σ = 60012720000. Its totient is φ = 7430556672.

The previous prime is 22442346583. The next prime is 22442346637. The reversal of 22442346624 is 42664324422.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 138904 + ... + 253335.

It is an arithmetic number, because the mean of its divisors is an integer number (937698750).

Almost surely, 2^22442346624 is an apocalyptic number.

22442346624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22442346624 is an abundant number, since it is smaller than the sum of its proper divisors (37570373376).

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

22442346624 is a wasteful number, since it uses less digits than its factorization.

22442346624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392405 (or 392393 counting only the distinct ones).

The product of its digits is 442368, while the sum is 39.

The spelling of 22442346624 in words is "twenty-two billion, four hundred forty-two million, three hundred forty-six thousand, six hundred twenty-four".