116228451664900 has 81 divisors (see below), whose sum is σ = 252729829123093. Its totient is φ = 46396810348000.

The previous prime is 116228451664883. The next prime is 116228451664931. The reversal of 116228451664900 is 9466154822611.

The square root of 116228451664900 is 10780930.

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

It can be written as a sum of positive squares in only one way, i.e., 41842242599364 + 74386209065536 = 6468558^2 + 8624744^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 80102309175 + ... + 80102310625.

Almost surely, 2^{116228451664900} is an apocalyptic number.

116228451664900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116228451664900 is the 10780930-th square number.

It is an amenable number.

116228451664900 is an abundant number, since it is smaller than the sum of its proper divisors (136501377458193).

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

116228451664900 is an frugal number, since it uses more digits than its factorization.

116228451664900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 116228451664900 in words is "one hundred sixteen trillion, two hundred twenty-eight billion, four hundred fifty-one million, six hundred sixty-four thousand, nine hundred".