22121631584896 has 64 divisors (see below), whose sum is σ = 44517149157600. Its totient is φ = 10948751078400.

The previous prime is 22121631584881. The next prime is 22121631584903. The reversal of 22121631584896 is 69848513612122.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 22121631584896.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55897411 + ... + 56291773.

Almost surely, 2^{22121631584896} 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 22121631584896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22258574578800).

22121631584896 is an abundant number, since it is smaller than the sum of its proper divisors (22395517572704).

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

22121631584896 is a wasteful number, since it uses less digits than its factorization.

22121631584896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398817 (or 398805 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 58.

The spelling of 22121631584896 in words is "twenty-two trillion, one hundred twenty-one billion, six hundred thirty-one million, five hundred eighty-four thousand, eight hundred ninety-six".