116845344 has 216 divisors, whose sum is σ = 418279680. Its totient is φ = 30286080.

The previous prime is 116845343. The next prime is 116845357. The reversal of 116845344 is 443548611.

116845344 is a `hidden beast` number, since 1 + 168 + 453 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116845299 and 116845308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116845343) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243697 + ... + 244175.

It is an arithmetic number, because the mean of its divisors is an integer number (1936480).

Almost surely, 2^116845344 is an apocalyptic number.

116845344 is a gapful number since it is divisible by the number (14) 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 116845344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840).

116845344 is an abundant number, since it is smaller than the sum of its proper divisors (301434336).

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

116845344 is a wasteful number, since it uses less digits than its factorization.

116845344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 502 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 116845344 is about 10809.5024862387. The cubic root of 116845344 is about 488.8817258210.

The spelling of 116845344 in words is "one hundred sixteen million, eight hundred forty-five thousand, three hundred forty-four".