22267364256 has 288 divisors, whose sum is σ = 67633937280. Its totient is φ = 6934659072.

The previous prime is 22267364243. The next prime is 22267364261. The reversal of 22267364256 is 65246376222.

22267364256 is a `hidden beast` number, since 2 + 2 + 267 + 364 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63080176 + ... + 63080528.

It is an arithmetic number, because the mean of its divisors is an integer number (234840060).

Almost surely, 2^22267364256 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 22267364256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33816968640).

22267364256 is an abundant number, since it is smaller than the sum of its proper divisors (45366573024).

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

22267364256 is a wasteful number, since it uses less digits than its factorization.

22267364256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 577 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 22267364256 in words is "twenty-two billion, two hundred sixty-seven million, three hundred sixty-four thousand, two hundred fifty-six".