113606955399168 has 1920 divisors, whose sum is σ = 450006244047360. Its totient is φ = 27759618293760.

The previous prime is 113606955399163. The next prime is 113606955399181. The reversal of 113606955399168 is 861993559606311.

113606955399168 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 0 + 6 + 9 + 553 + 9 + 9 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 113606955399096 and 113606955399105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113606955399163) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 52766815180 + ... + 52766817332.

It is an arithmetic number, because the mean of its divisors is an integer number (234378252108).

Almost surely, 2^{113606955399168} is an apocalyptic number.

113606955399168 is a gapful number since it is divisible by the number (18) 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 113606955399168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225003122023680).

113606955399168 is an abundant number, since it is smaller than the sum of its proper divisors (336399288648192).

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

113606955399168 is an frugal number, since it uses more digits than its factorization.

113606955399168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 283435200, while the sum is 72.

The spelling of 113606955399168 in words is "one hundred thirteen trillion, six hundred six billion, nine hundred fifty-five million, three hundred ninety-nine thousand, one hundred sixty-eight".