223012565525664 has 288 divisors, whose sum is σ = 678716877646080. Its totient is φ = 69214334631936.

The previous prime is 223012565525551. The next prime is 223012565525677. The reversal of 223012565525664 is 466525565210322.

223012565525664 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 1 + 2 + 56 + 5 + 525 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 223012565525664.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376367932 + ... + 376960004.

It is an arithmetic number, because the mean of its divisors is an integer number (2356655825160).

Almost surely, 2^{223012565525664} is an apocalyptic number.

223012565525664 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 223012565525664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339358438823040).

223012565525664 is an abundant number, since it is smaller than the sum of its proper divisors (455704312120416).

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

223012565525664 is a wasteful number, since it uses less digits than its factorization.

223012565525664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592932 (or 592921 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 223012565525664 in words is "two hundred twenty-three trillion, twelve billion, five hundred sixty-five million, five hundred twenty-five thousand, six hundred sixty-four".