233398645212100 has 81 divisors (see below), whose sum is σ = 538026206479783. Its totient is φ = 87866747503360.

The previous prime is 233398645212071. The next prime is 233398645212127. The reversal of 233398645212100 is 1212546893332.

It is a happy number.

The square root of 233398645212100 is 15277390.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5459428517764 + 227939216694336 = 2336542^2 + 15097656^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 2597111367 + ... + 2597201233.

Almost surely, 2^{233398645212100} is an apocalyptic number.

233398645212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

233398645212100 is the 15277390-th square number.

It is an amenable number.

233398645212100 is an abundant number, since it is smaller than the sum of its proper divisors (304627561267683).

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

233398645212100 is an frugal number, since it uses more digits than its factorization.

233398645212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179782 (or 89891 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The spelling of 233398645212100 in words is "two hundred thirty-three trillion, three hundred ninety-eight billion, six hundred forty-five million, two hundred twelve thousand, one hundred".