222791661792 has 216 divisors, whose sum is σ = 737375911272. Its totient is φ = 63622540800.

The previous prime is 222791661751. The next prime is 222791661823. The reversal of 222791661792 is 297166197222.

222791661792 is a `hidden beast` number, since 2 + 2 + 2 + 7 + 9 + 16 + 617 + 9 + 2 = 666.

It is a super-2 number, since 2×222791661792² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50391742 + ... + 50396162.

It is an arithmetic number, because the mean of its divisors is an integer number (3413777367).

Almost surely, 2^222791661792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222791661792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368687955636).

222791661792 is an abundant number, since it is smaller than the sum of its proper divisors (514584249480).

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

222791661792 is a wasteful number, since it uses less digits than its factorization.

222791661792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8022 (or 8004 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 222791661792 in words is "two hundred twenty-two billion, seven hundred ninety-one million, six hundred sixty-one thousand, seven hundred ninety-two".