223440872004 has 180 divisors, whose sum is σ = 679868933436. Its totient is φ = 63804174336.

The previous prime is 223440871993. The next prime is 223440872009. The reversal of 223440872004 is 400278044322.

223440872004 is a `hidden beast` number, since 2 + 2 + 3 + 440 + 8 + 7 + 200 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 164915585604 + 58525286400 = 406098^2 + 241920^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 223440872004.

It is not an unprimeable number, because it can be changed into a prime (223440872009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 42179884 + ... + 42185180.

Almost surely, 2^223440872004 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 223440872004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339934466718).

223440872004 is an abundant number, since it is smaller than the sum of its proper divisors (456428061432).

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

223440872004 is a wasteful number, since it uses less digits than its factorization.

223440872004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7984 (or 7966 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 223440872004 in words is "two hundred twenty-three billion, four hundred forty million, eight hundred seventy-two thousand, four".