22745891965680 has 2160 divisors, whose sum is σ = 94686954691680. Its totient is φ = 4860608643072.

The previous prime is 22745891965679. The next prime is 22745891965703. The reversal of 22745891965680 is 8656919854722.

22745891965680 is a `hidden beast` number, since 2 + 2 + 7 + 4 + 58 + 9 + 1 + 9 + 6 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 22745891965599 and 22745891965608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 72670581204 + ... + 72670581516.

It is an arithmetic number, because the mean of its divisors is an integer number (43836553098).

Almost surely, 2^{22745891965680} is an apocalyptic number.

22745891965680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22745891965680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47343477345840).

22745891965680 is an abundant number, since it is smaller than the sum of its proper divisors (71941062726000).

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

22745891965680 is a wasteful number, since it uses less digits than its factorization.

22745891965680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 22745891965680 in words is "twenty-two trillion, seven hundred forty-five billion, eight hundred ninety-one million, nine hundred sixty-five thousand, six hundred eighty".