113668503168 has 128 divisors (see below), whose sum is σ = 331975434240. Its totient is φ = 34173619200.

The previous prime is 113668503133. The next prime is 113668503191. The reversal of 113668503168 is 861305866311.

113668503168 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×113668503168² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430503 + ... + 642393.

It is an arithmetic number, because the mean of its divisors is an integer number (2593558080).

Almost surely, 2^113668503168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113668503168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165987717120).

113668503168 is an abundant number, since it is smaller than the sum of its proper divisors (218306931072).

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

113668503168 is a wasteful number, since it uses less digits than its factorization.

113668503168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212046 (or 212034 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 113668503168 in words is "one hundred thirteen billion, six hundred sixty-eight million, five hundred three thousand, one hundred sixty-eight".