222598406983680 has 3120 divisors, whose sum is σ = 1052348656423680. Its totient is φ = 44489919430656.

The previous prime is 222598406983679. The next prime is 222598406983811. The reversal of 222598406983680 is 86389604895222.

222598406983680 is a `hidden beast` number, since 2 + 2 + 2 + 59 + 8 + 406 + 98 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 222598406983599 and 222598406983608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 20077419097 + ... + 20077430183.

Almost surely, 2^{222598406983680} is an apocalyptic number.

222598406983680 is a gapful number since it is divisible by the number (20) 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 222598406983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526174328211840).

222598406983680 is an abundant number, since it is smaller than the sum of its proper divisors (829750249440000).

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

222598406983680 is a wasteful number, since it uses less digits than its factorization.

222598406983680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11174 (or 11136 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 222598406983680 in words is "two hundred twenty-two trillion, five hundred ninety-eight billion, four hundred six million, nine hundred eighty-three thousand, six hundred eighty".