116109935343360 has 576 divisors, whose sum is σ = 473122208885760. Its totient is φ = 26413622968320.

The previous prime is 116109935343341. The next prime is 116109935343377. The reversal of 116109935343360 is 63343539901611.

116109935343360 is a `hidden beast` number, since 1 + 1 + 6 + 10 + 9 + 9 + 3 + 534 + 33 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×116109935343360³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 116109935343297 and 116109935343306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49907794 + ... + 52182446.

It is an arithmetic number, because the mean of its divisors is an integer number (821392723760).

Almost surely, 2^{116109935343360} is an apocalyptic number.

116109935343360 is a gapful number since it is divisible by the number (10) 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 116109935343360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236561104442880).

116109935343360 is an abundant number, since it is smaller than the sum of its proper divisors (357012273542400).

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

116109935343360 is a wasteful number, since it uses less digits than its factorization.

116109935343360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274901 (or 2274881 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 116109935343360 in words is "one hundred sixteen trillion, one hundred nine billion, nine hundred thirty-five million, three hundred forty-three thousand, three hundred sixty".