223282615025664 has 684 divisors, whose sum is σ = 675606663608448. Its totient is φ = 73784859033600.

The previous prime is 223282615025633. The next prime is 223282615025671. The reversal of 223282615025664 is 466520516282322.

223282615025664 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 8 + 26 + 1 + 50 + 2 + 566 + 4 = 666.

It is a super-3 number, since 3×223282615025664³ (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 self number, because there is not a number n which added to its sum of digits gives 223282615025664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 225310408209 + ... + 225310409199.

Almost surely, 2^{223282615025664} is an apocalyptic number.

223282615025664 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 223282615025664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337803331804224).

223282615025664 is an abundant number, since it is smaller than the sum of its proper divisors (452324048582784).

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

223282615025664 is an frugal number, since it uses more digits than its factorization.

223282615025664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 223282615025664 in words is "two hundred twenty-three trillion, two hundred eighty-two billion, six hundred fifteen million, twenty-five thousand, six hundred sixty-four".