22318940160000 has 1440 divisors, whose sum is σ = 89939025736560. Its totient is φ = 5284823040000.

The previous prime is 22318940159987. The next prime is 22318940160047. The reversal of 22318940160000 is 6104981322.

22318940160000 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 8 + 9 + 40 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×22318940160000³ (a number of 41 digits) contains 333 as substring.

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, 519045119979 + ... + 519045120021.

Almost surely, 2^{22318940160000} is an apocalyptic number.

22318940160000 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 22318940160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44969512868280).

22318940160000 is an abundant number, since it is smaller than the sum of its proper divisors (67620085576560).

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

22318940160000 is an frugal number, since it uses more digits than its factorization.

22318940160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 22318940160000 in words is "twenty-two trillion, three hundred eighteen billion, nine hundred forty million, one hundred sixty thousand".