116805365824 has 189 divisors, whose sum is σ = 287221708893. Its totient is φ = 46983530496.

The previous prime is 116805365753. The next prime is 116805365857. The reversal of 116805365824 is 428563508611.

The square root of 116805365824 is 341768.

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., 90938433600 + 25866932224 = 301560^2 + 160832^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 325362957 + ... + 325363315.

Almost surely, 2^116805365824 is an apocalyptic number.

116805365824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

116805365824 is the 341768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116805365824

116805365824 is an abundant number, since it is smaller than the sum of its proper divisors (170416343069).

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

116805365824 is an frugal number, since it uses more digits than its factorization.

116805365824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

Multiplying 116805365824 by its sum of digits (49), we get a square (5723462925376 = 2392376²).

116805365824 divided by its sum of digits (49) gives a square (2383782976 = 48824²).

The spelling of 116805365824 in words is "one hundred sixteen billion, eight hundred five million, three hundred sixty-five thousand, eight hundred twenty-four".