116786227600 has 135 divisors (see below), whose sum is σ = 326521479171. Its totient is φ = 40024588800.

The previous prime is 116786227561. The next prime is 116786227619. The reversal of 116786227600 is 6722687611.

It is a happy number.

The square root of 116786227600 is 341740.

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 38448935056 + 78337292544 = 196084^2 + 279888^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 47842380 + ... + 47844820.

Almost surely, 2^116786227600 is an apocalyptic number.

116786227600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116786227600 is the 341740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116786227600

116786227600 is an abundant number, since it is smaller than the sum of its proper divisors (209735251571).

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

116786227600 is an frugal number, since it uses more digits than its factorization.

116786227600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4914 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

It can be divided in two parts, 11678 and 6227600, that added together give a triangular number (6239278 = T₃₅₃₂).

The spelling of 116786227600 in words is "one hundred sixteen billion, seven hundred eighty-six million, two hundred twenty-seven thousand, six hundred".