22564145446056 has 96 divisors (see below), whose sum is σ = 64346863152000. Its totient is φ = 7123386696192.

The previous prime is 22564145446043. The next prime is 22564145446093. The reversal of 22564145446056 is 65064454146522.

22564145446056 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 4 + 145 + 446 + 0 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22564145445993 and 22564145446011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2106240 + ... + 7040208.

It is an arithmetic number, because the mean of its divisors is an integer number (670279824500).

Almost surely, 2^{22564145446056} 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 22564145446056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32173431576000).

22564145446056 is an abundant number, since it is smaller than the sum of its proper divisors (41782717705944).

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

22564145446056 is a wasteful number, since it uses less digits than its factorization.

22564145446056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4937343 (or 4937336 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 54.

The spelling of 22564145446056 in words is "twenty-two trillion, five hundred sixty-four billion, one hundred forty-five million, four hundred forty-six thousand, fifty-six".