113720163840 has 400 divisors, whose sum is σ = 421377137280. Its totient is φ = 29278126080.

The previous prime is 113720163773. The next prime is 113720163863. The reversal of 113720163840 is 48361027311.

It is a happy number.

113720163840 is a `hidden beast` number, since 1 + 13 + 7 + 2 + 0 + 1 + 638 + 4 + 0 = 666.

It is a super-3 number, since 3×113720163840³ (a number of 34 digits) contains 333 as substring.

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 = 113720163795 and 113720163804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6003985 + ... + 6022895.

Almost surely, 2^113720163840 is an apocalyptic number.

113720163840 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 113720163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210688568640).

113720163840 is an abundant number, since it is smaller than the sum of its proper divisors (307656973440).

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

113720163840 is an equidigital number, since it uses as much as digits as its factorization.

113720163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18975 (or 18950 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 113720163840 in words is "one hundred thirteen billion, seven hundred twenty million, one hundred sixty-three thousand, eight hundred forty".