22972090752 has 512 divisors, whose sum is σ = 81430272000. Its totient is φ = 6298435584.

The previous prime is 22972090741. The next prime is 22972090763. The reversal of 22972090752 is 25709027922.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22972090741) and next prime (22972090763).

It is a junction number, because it is equal to n+sod(n) for n = 22972090698 and 22972090707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14510953 + ... + 14512535.

It is an arithmetic number, because the mean of its divisors is an integer number (159043500).

Almost surely, 2^22972090752 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 22972090752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40715136000).

22972090752 is an abundant number, since it is smaller than the sum of its proper divisors (58458181248).

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

22972090752 is a wasteful number, since it uses less digits than its factorization.

22972090752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 22972090752 in words is "twenty-two billion, nine hundred seventy-two million, ninety thousand, seven hundred fifty-two".