22748689708800 has 864 divisors, whose sum is σ = 85541181014016. Its totient is φ = 5270132736000.

The previous prime is 22748689708799. The next prime is 22748689708841. The reversal of 22748689708800 is 880798684722.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9088568349 + ... + 9088570851.

It is an arithmetic number, because the mean of its divisors is an integer number (99005996544).

Almost surely, 2^{22748689708800} is an apocalyptic number.

22748689708800 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 22748689708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42770590507008).

22748689708800 is an abundant number, since it is smaller than the sum of its proper divisors (62792491305216).

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

22748689708800 is a wasteful number, since it uses less digits than its factorization.

22748689708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 69.

The spelling of 22748689708800 in words is "twenty-two trillion, seven hundred forty-eight billion, six hundred eighty-nine million, seven hundred eight thousand, eight hundred".