22488420261888 has 1120 divisors, whose sum is σ = 79128789062400. Its totient is φ = 6230806364160.

The previous prime is 22488420261817. The next prime is 22488420261889. The reversal of 22488420261888 is 88816202488422.

22488420261888 is a `hidden beast` number, since 2 + 2 + 4 + 8 + 8 + 4 + 2 + 0 + 2 + 618 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (22488420261889) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 50085568288 + ... + 50085568736.

It is an arithmetic number, because the mean of its divisors is an integer number (70650704520).

Almost surely, 2^{22488420261888} is an apocalyptic number.

22488420261888 is a gapful number since it is divisible by the number (28) 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 22488420261888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39564394531200).

22488420261888 is an abundant number, since it is smaller than the sum of its proper divisors (56640368800512).

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

22488420261888 is an equidigital number, since it uses as much as digits as its factorization.

22488420261888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 50331648, while the sum is 63.

The spelling of 22488420261888 in words is "twenty-two trillion, four hundred eighty-eight billion, four hundred twenty million, two hundred sixty-one thousand, eight hundred eighty-eight".