22241405088 has 384 divisors, whose sum is σ = 76096419840. Its totient is φ = 6266647296.

The previous prime is 22241405083. The next prime is 22241405089. The reversal of 22241405088 is 88050414222.

22241405088 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 140 + 508 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22241405083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40660431 + ... + 40660977.

It is an arithmetic number, because the mean of its divisors is an integer number (198167760).

Almost surely, 2^22241405088 is an apocalyptic number.

22241405088 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 22241405088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38048209920).

22241405088 is an abundant number, since it is smaller than the sum of its proper divisors (53855014752).

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

22241405088 is an frugal number, since it uses more digits than its factorization.

22241405088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 22241405088 in words is "twenty-two billion, two hundred forty-one million, four hundred five thousand, eighty-eight".