22522865853312 has 384 divisors, whose sum is σ = 72460097424000. Its totient is φ = 6656073338880.

The previous prime is 22522865853283. The next prime is 22522865853329. The reversal of 22522865853312 is 21335856822522.

22522865853312 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 28 + 6 + 585 + 3 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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, 355785439 + ... + 355848737.

It is an arithmetic number, because the mean of its divisors is an integer number (188698170375).

Almost surely, 2^{22522865853312} is an apocalyptic number.

22522865853312 is a gapful number since it is divisible by the number (22) 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 22522865853312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36230048712000).

22522865853312 is an abundant number, since it is smaller than the sum of its proper divisors (49937231570688).

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

22522865853312 is a wasteful number, since it uses less digits than its factorization.

22522865853312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64026 (or 64011 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 22522865853312 in words is "twenty-two trillion, five hundred twenty-two billion, eight hundred sixty-five million, eight hundred fifty-three thousand, three hundred twelve".