22481141760 has 1020 divisors, whose sum is σ = 101247628944. Its totient is φ = 4671406080.

The previous prime is 22481141731. The next prime is 22481141773. The reversal of 22481141760 is 6714118422.

It is a happy number.

22481141760 is a `hidden beast` number, since 2 + 2 + 481 + 1 + 4 + 176 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2043740155 + ... + 2043740165.

Almost surely, 2^22481141760 is an apocalyptic number.

22481141760 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 22481141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50623814472).

22481141760 is an abundant number, since it is smaller than the sum of its proper divisors (78766487184).

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

22481141760 is an frugal number, since it uses more digits than its factorization.

22481141760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 22481141760 in words is "twenty-two billion, four hundred eighty-one million, one hundred forty-one thousand, seven hundred sixty".