222575700576768 has 1920 divisors, whose sum is σ = 820966334791680. Its totient is φ = 52243107840000.

The previous prime is 222575700576721. The next prime is 222575700576793. The reversal of 222575700576768 is 867675007575222.

It is a super-2 number, since 2×222575700576768² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54406182403 + ... + 54406186493.

It is an arithmetic number, because the mean of its divisors is an integer number (427586632704).

Almost surely, 2^{222575700576768} is an apocalyptic number.

222575700576768 is a gapful number since it is divisible by the number (28) 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 222575700576768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410483167395840).

222575700576768 is an abundant number, since it is smaller than the sum of its proper divisors (598390634214912).

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

222575700576768 is a wasteful number, since it uses less digits than its factorization.

222575700576768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 691488000, while the sum is 69.

The spelling of 222575700576768 in words is "two hundred twenty-two trillion, five hundred seventy-five billion, seven hundred million, five hundred seventy-six thousand, seven hundred sixty-eight".