22859441165952 has 384 divisors, whose sum is σ = 66655686240000. Its totient is φ = 7519328796672.

The previous prime is 22859441165947. The next prime is 22859441165963. The reversal of 22859441165952 is 25956114495822.

It is a happy number.

22859441165952 is a `hidden beast` number, since 2 + 2 + 85 + 9 + 441 + 1 + 65 + 9 + 52 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22859441165952.

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, 19826054208 + ... + 19826055360.

It is an arithmetic number, because the mean of its divisors is an integer number (173582516250).

Almost surely, 2^{22859441165952} 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 22859441165952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33327843120000).

22859441165952 is an abundant number, since it is smaller than the sum of its proper divisors (43796245074048).

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

22859441165952 is a wasteful number, since it uses less digits than its factorization.

22859441165952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 1993 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 63.

The spelling of 22859441165952 in words is "twenty-two trillion, eight hundred fifty-nine billion, four hundred forty-one million, one hundred sixty-five thousand, nine hundred fifty-two".