222366551041600 has 567 divisors, whose sum is σ = 671995567506177. Its totient is φ = 72201562997760.

The previous prime is 222366551041517. The next prime is 222366551041601. The reversal of 222366551041600 is 6140155663222.

The square root of 222366551041600 is 14911960.

It is a perfect power (a square), and thus also a powerful number.

222366551041600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 80051958374976 + 142314592666624 = 8947176^2 + 11929568^2 .

It is not an unprimeable number, because it can be changed into a prime (222366551041601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 79331625799 + ... + 79331628601.

Almost surely, 2^{222366551041600} is an apocalyptic number.

222366551041600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

222366551041600 is the 14911960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222366551041600

222366551041600 is an abundant number, since it is smaller than the sum of its proper divisors (449629016464577).

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

222366551041600 is an frugal number, since it uses more digits than its factorization.

222366551041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5680 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 222366551041600 in words is "two hundred twenty-two trillion, three hundred sixty-six billion, five hundred fifty-one million, forty-one thousand, six hundred".