116346740948992 has 720 divisors, whose sum is σ = 270806381501040. Its totient is φ = 49738640523264.

The previous prime is 116346740948989. The next prime is 116346740949007. The reversal of 116346740948992 is 299849047643611.

It can be written as a sum of positive squares in 8 ways, for example, as 5327307145216 + 111019433803776 = 2308096^2 + 10536576^2 .

It is a Harshad number since it is a multiple of its sum of digits (73).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311921557318 + ... + 311921557690.

It is an arithmetic number, because the mean of its divisors is an integer number (376119974307).

Almost surely, 2^{116346740948992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116346740948992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135403190750520).

116346740948992 is an abundant number, since it is smaller than the sum of its proper divisors (154459640552048).

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

116346740948992 is an equidigital number, since it uses as much as digits as its factorization.

116346740948992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 73.

The spelling of 116346740948992 in words is "one hundred sixteen trillion, three hundred forty-six billion, seven hundred forty million, nine hundred forty-eight thousand, nine hundred ninety-two".