223075128561160 has 128 divisors (see below), whose sum is σ = 523291455928800. Its totient is φ = 85506953011200.

The previous prime is 223075128561107. The next prime is 223075128561179. The reversal of 223075128561160 is 61165821570322.

223075128561160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 34264609545604 + 188810519015556 = 5853598^2 + 13740834^2 .

It is a super-3 number, since 3×223075128561160³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74263326 + ... + 77208754.

Almost surely, 2^{223075128561160} is an apocalyptic number.

223075128561160 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 223075128561160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261645727964400).

223075128561160 is an abundant number, since it is smaller than the sum of its proper divisors (300216327367640).

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

223075128561160 is a wasteful number, since it uses less digits than its factorization.

223075128561160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946251 (or 2946247 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

The spelling of 223075128561160 in words is "two hundred twenty-three trillion, seventy-five billion, one hundred twenty-eight million, five hundred sixty-one thousand, one hundred sixty".