222621104160 has 1440 divisors, whose sum is σ = 992032634880. Its totient is φ = 46600759296.

The previous prime is 222621104093. The next prime is 222621104179. The reversal of 222621104160 is 61401126222.

222621104160 is a `hidden beast` number, since 2 + 22 + 621 + 1 + 0 + 4 + 16 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1752922017 + ... + 1752922143.

It is an arithmetic number, because the mean of its divisors is an integer number (688911552).

Almost surely, 2^222621104160 is an apocalyptic number.

222621104160 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 222621104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496016317440).

222621104160 is an abundant number, since it is smaller than the sum of its proper divisors (769411530720).

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

222621104160 is a wasteful number, since it uses less digits than its factorization.

222621104160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 222621104160 in words is "two hundred twenty-two billion, six hundred twenty-one million, one hundred four thousand, one hundred sixty".