116931349710400 has 63 divisors (see below), whose sum is σ = 287725266701859. Its totient is φ = 46772366868480.

The previous prime is 116931349710359. The next prime is 116931349710431. The reversal of 116931349710400 is 4017943139611.

It is a happy number.

The square root of 116931349710400 is 10813480.

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 8445626450496 + 108485723259904 = 2906136^2 + 10415648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 432404032 + ... + 432674368.

Almost surely, 2^{116931349710400} is an apocalyptic number.

116931349710400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116931349710400 is the 10813480-th square number.

It is an amenable number.

116931349710400 is an abundant number, since it is smaller than the sum of its proper divisors (170793916991459).

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

116931349710400 is an frugal number, since it uses more digits than its factorization.

116931349710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540696 (or 270344 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 49.

The spelling of 116931349710400 in words is "one hundred sixteen trillion, nine hundred thirty-one billion, three hundred forty-nine million, seven hundred ten thousand, four hundred".