116735784672 has 96 divisors (see below), whose sum is σ = 331956364320. Its totient is φ = 35918638080.

The previous prime is 116735784667. The next prime is 116735784679. The reversal of 116735784672 is 276487537611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116735784679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65829 + ... + 487652.

It is an arithmetic number, because the mean of its divisors is an integer number (3457878795).

Almost surely, 2^116735784672 is an apocalyptic number.

116735784672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116735784672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165978182160).

116735784672 is an abundant number, since it is smaller than the sum of its proper divisors (215220579648).

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

116735784672 is an equidigital number, since it uses as much as digits as its factorization.

116735784672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553533 (or 553499 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 57.

The spelling of 116735784672 in words is "one hundred sixteen billion, seven hundred thirty-five million, seven hundred eighty-four thousand, six hundred seventy-two".