22354940160 has 864 divisors, whose sum is σ = 97801966080. Its totient is φ = 4593549312.

The previous prime is 22354940129. The next prime is 22354940191. The reversal of 22354940160 is 6104945322.

It is a happy number.

22354940160 is a `hidden beast` number, since 2 + 2 + 3 + 5 + 494 + 0 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (22354940129) and next prime (22354940191).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31529886 + ... + 31530594.

It is an arithmetic number, because the mean of its divisors is an integer number (113196720).

Almost surely, 2^22354940160 is an apocalyptic number.

22354940160 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 22354940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48900983040).

22354940160 is an abundant number, since it is smaller than the sum of its proper divisors (75447025920).

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

22354940160 is a wasteful number, since it uses less digits than its factorization.

22354940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 22354940160 in words is "twenty-two billion, three hundred fifty-four million, nine hundred forty thousand, one hundred sixty".