22258572672 has 128 divisors (see below), whose sum is σ = 67949625600. Its totient is φ = 6323927040.

The previous prime is 22258572659. The next prime is 22258572709. The reversal of 22258572672 is 27627585222.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458022 + ... + 504282.

It is an arithmetic number, because the mean of its divisors is an integer number (530856450).

Almost surely, 2^22258572672 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 22258572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33974812800).

22258572672 is an abundant number, since it is smaller than the sum of its proper divisors (45691052928).

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

22258572672 is a wasteful number, since it uses less digits than its factorization.

22258572672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46464 (or 46452 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 48.

The spelling of 22258572672 in words is "twenty-two billion, two hundred fifty-eight million, five hundred seventy-two thousand, six hundred seventy-two".