222064156800 has 960 divisors, whose sum is σ = 876770743200. Its totient is φ = 55180984320.

The previous prime is 222064156799. The next prime is 222064156859. The reversal of 222064156800 is 8651460222.

It is a happy number.

222064156800 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 641 + 5 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 329961264 + ... + 329961936.

Almost surely, 2^222064156800 is an apocalyptic number.

222064156800 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 222064156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438385371600).

222064156800 is an abundant number, since it is smaller than the sum of its proper divisors (654706586400).

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

222064156800 is a wasteful number, since it uses less digits than its factorization.

222064156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 222064156800 in words is "two hundred twenty-two billion, sixty-four million, one hundred fifty-six thousand, eight hundred".