223160360988240 has 800 divisors, whose sum is σ = 842899546288800. Its totient is φ = 54392147066880.

The previous prime is 223160360988211. The next prime is 223160360988347. The reversal of 223160360988240 is 42889063061322.

223160360988240 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 6 + 0 + 3 + 609 + 8 + 8 + 24 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 77745414136896 + 145414946851344 = 8817336^2 + 12058812^2 .

It is a super-3 number, since 3×223160360988240³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 15692304330 + ... + 15692318550.

It is an arithmetic number, because the mean of its divisors is an integer number (1053624432861).

Almost surely, 2^{223160360988240} is an apocalyptic number.

223160360988240 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 223160360988240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421449773144400).

223160360988240 is an abundant number, since it is smaller than the sum of its proper divisors (619739185300560).

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

223160360988240 is a wasteful number, since it uses less digits than its factorization.

223160360988240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16077 (or 16062 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 223160360988240 in words is "two hundred twenty-three trillion, one hundred sixty billion, three hundred sixty million, nine hundred eighty-eight thousand, two hundred forty".