222635621567968 has 288 divisors, whose sum is σ = 537606776464128. Its totient is φ = 90366525849600.

The previous prime is 222635621567959. The next prime is 222635621567981. The reversal of 222635621567968 is 869765126536222.

It is a junction number, because it is equal to n+sod(n) for n = 222635621567897 and 222635621567906.

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 47 ways as a sum of consecutive naturals, for example, 1022652088 + ... + 1022869768.

It is an arithmetic number, because the mean of its divisors is an integer number (1866690196056).

Almost surely, 2^{222635621567968} is an apocalyptic number.

222635621567968 is a gapful number since it is divisible by the number (28) 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 222635621567968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268803388232064).

222635621567968 is an abundant number, since it is smaller than the sum of its proper divisors (314971154896160).

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

222635621567968 is a wasteful number, since it uses less digits than its factorization.

222635621567968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218186 (or 218171 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 70.

The spelling of 222635621567968 in words is "two hundred twenty-two trillion, six hundred thirty-five billion, six hundred twenty-one million, five hundred sixty-seven thousand, nine hundred sixty-eight".