22971852066816 has 585 divisors, whose sum is σ = 70391122521951. Its totient is φ = 7464954691584.

The previous prime is 22971852066773. The next prime is 22971852066817. The reversal of 22971852066816 is 61866025817922.

The square root of 22971852066816 is 4792896.

It is a perfect power (a square), and thus also a powerful number.

22971852066816 is a `hidden beast` number, since 2 + 2 + 97 + 1 + 8 + 520 + 6 + 6 + 8 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5521084416 + 22966330982400 = 74304^2 + 4792320^2 .

It is not an unprimeable number, because it can be changed into a prime (22971852066817) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 146317529010 + ... + 146317529166.

Almost surely, 2^{22971852066816} is an apocalyptic number.

22971852066816 is the 4792896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22971852066816

22971852066816 is an abundant number, since it is smaller than the sum of its proper divisors (47419270455135).

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

22971852066816 is an frugal number, since it uses more digits than its factorization.

22971852066816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 22971852066816 in words is "twenty-two trillion, nine hundred seventy-one billion, eight hundred fifty-two million, sixty-six thousand, eight hundred sixteen".