22748966143488 has 960 divisors, whose sum is σ = 76513419702720. Its totient is φ = 6446540390400.

The previous prime is 22748966143471. The next prime is 22748966143613. The reversal of 22748966143488 is 88434166984722.

22748966143488 is a `hidden beast` number, since 2 + 2 + 7 + 4 + 89 + 6 + 61 + 4 + 3 + 488 = 666.

It is a super-2 number, since 2×22748966143488² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16472820558 + ... + 16472821938.

It is an arithmetic number, because the mean of its divisors is an integer number (79701478857).

Almost surely, 2^{22748966143488} 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 22748966143488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38256709851360).

22748966143488 is an abundant number, since it is smaller than the sum of its proper divisors (53764453559232).

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

22748966143488 is a wasteful number, since it uses less digits than its factorization.

22748966143488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1812 counting only the distinct ones).

The product of its digits is 891813888, while the sum is 72.

The spelling of 22748966143488 in words is "twenty-two trillion, seven hundred forty-eight billion, nine hundred sixty-six million, one hundred forty-three thousand, four hundred eighty-eight".