22257075456 has 1152 divisors, whose sum is σ = 90420019200. Its totient is φ = 5225472000.

The previous prime is 22257075443. The next prime is 22257075509. The reversal of 22257075456 is 65457075222.

22257075456 is a `hidden beast` number, since 2 + 2 + 2 + 570 + 75 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 313479901 + ... + 313479971.

It is an arithmetic number, because the mean of its divisors is an integer number (78489600).

Almost surely, 2^22257075456 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 22257075456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45210009600).

22257075456 is an abundant number, since it is smaller than the sum of its proper divisors (68162943744).

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

22257075456 is a wasteful number, since it uses less digits than its factorization.

22257075456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 45.

The spelling of 22257075456 in words is "twenty-two billion, two hundred fifty-seven million, seventy-five thousand, four hundred fifty-six".