222434004158208 has 864 divisors, whose sum is σ = 711698028204800. Its totient is φ = 69175965855744.

The previous prime is 222434004158167. The next prime is 222434004158257. The reversal of 222434004158208 is 802851400434222.

222434004158208 is a `hidden beast` number, since 2 + 2 + 2 + 434 + 0 + 0 + 4 + 1 + 5 + 8 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 57730079610 + ... + 57730083462.

Almost surely, 2^{222434004158208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222434004158208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355849014102400).

222434004158208 is an abundant number, since it is smaller than the sum of its proper divisors (489264024046592).

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

222434004158208 is an frugal number, since it uses more digits than its factorization.

222434004158208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 222434004158208 in words is "two hundred twenty-two trillion, four hundred thirty-four billion, four million, one hundred fifty-eight thousand, two hundred eight".