111335668900 has 81 divisors (see below), whose sum is σ = 246073818627. Its totient is φ = 43724116800.

The previous prime is 111335668853. The next prime is 111335668901. The reversal of 111335668900 is 9866533111.

It is a happy number.

The square root of 111335668900 is 333670.

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 51283225764 + 60052443136 = 226458^2 + 245056^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111335668901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 203538427 + ... + 203538973.

Almost surely, 2^111335668900 is an apocalyptic number.

111335668900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111335668900 is the 333670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111335668900

111335668900 is an abundant number, since it is smaller than the sum of its proper divisors (134738149727).

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

111335668900 is an frugal number, since it uses more digits than its factorization.

111335668900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 111335668900 in words is "one hundred eleven billion, three hundred thirty-five million, six hundred sixty-eight thousand, nine hundred".