222463217664 has 208 divisors, whose sum is σ = 662480216640. Its totient is φ = 73770762240.

The previous prime is 222463217651. The next prime is 222463217719. The reversal of 222463217664 is 466712364222.

222463217664 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 632 + 1 + 7 + 6 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21781519 + ... + 21791729.

Almost surely, 2^222463217664 is an apocalyptic number.

222463217664 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 222463217664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331240108320).

222463217664 is an abundant number, since it is smaller than the sum of its proper divisors (440016998976).

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

222463217664 is a wasteful number, since it uses less digits than its factorization.

222463217664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10441 (or 10413 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 222463217664 in words is "two hundred twenty-two billion, four hundred sixty-three million, two hundred seventeen thousand, six hundred sixty-four".