223436104115904 has 560 divisors, whose sum is σ = 725671658717280. Its totient is φ = 67662384168960.

The previous prime is 223436104115779. The next prime is 223436104115923. The reversal of 223436104115904 is 409511401634322.

It is a happy number.

223436104115904 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 3 + 6 + 10 + 41 + 1 + 590 + 4 = 666.

223436104115904 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 223436104115904.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11988835674 + ... + 11988854310.

Almost surely, 2^{223436104115904} is an apocalyptic number.

223436104115904 is a gapful number since it is divisible by the number (24) 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 223436104115904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362835829358640).

223436104115904 is an abundant number, since it is smaller than the sum of its proper divisors (502235554601376).

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

223436104115904 is a wasteful number, since it uses less digits than its factorization.

223436104115904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23398 (or 23379 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 223436104115904 in words is "two hundred twenty-three trillion, four hundred thirty-six billion, one hundred four million, one hundred fifteen thousand, nine hundred four".