22742955823104 has 520 divisors, whose sum is σ = 74207731414080. Its totient is φ = 6883290316800.

The previous prime is 22742955823019. The next prime is 22742955823111. The reversal of 22742955823104 is 40132855924722.

It is a happy number.

22742955823104 is a `hidden beast` number, since 2 + 2 + 7 + 4 + 29 + 5 + 582 + 31 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3353920194 + ... + 3353926974.

Almost surely, 2^{22742955823104} is an apocalyptic number.

22742955823104 is a gapful number since it is divisible by the number (24) 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 22742955823104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37103865707040).

22742955823104 is an abundant number, since it is smaller than the sum of its proper divisors (51464775590976).

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

22742955823104 is an equidigital number, since it uses as much as digits as its factorization.

22742955823104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7747 (or 7716 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 22742955823104 in words is "twenty-two trillion, seven hundred forty-two billion, nine hundred fifty-five million, eight hundred twenty-three thousand, one hundred four".