116107446240 has 288 divisors, whose sum is σ = 401371117056. Its totient is φ = 30561377280.

The previous prime is 116107446197. The next prime is 116107446289. The reversal of 116107446240 is 42644701611.

It is a happy number.

116107446240 is a `hidden beast` number, since 1 + 16 + 10 + 7 + 4 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 116107446195 and 116107446204.

It is a congruent number.

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, 47917669 + ... + 47920091.

It is an arithmetic number, because the mean of its divisors is an integer number (1393649712).

Almost surely, 2^116107446240 is an apocalyptic number.

116107446240 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 116107446240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200685558528).

116107446240 is an abundant number, since it is smaller than the sum of its proper divisors (285263670816).

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

116107446240 is a wasteful number, since it uses less digits than its factorization.

116107446240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 116107446240 in words is "one hundred sixteen billion, one hundred seven million, four hundred forty-six thousand, two hundred forty".