113402220411168 has 72 divisors (see below), whose sum is σ = 347294300020668. Its totient is φ = 34892990894592.

The previous prime is 113402220411167. The next prime is 113402220411199. The reversal of 113402220411168 is 861114022204311.

113402220411168 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 0 + 2 + 220 + 411 + 16 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113148917573904 + 253302837264 = 10637148^2 + 503292^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (113402220411167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15144523555 + ... + 15144531042.

Almost surely, 2^{113402220411168} is an apocalyptic number.

113402220411168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113402220411168 is an abundant number, since it is smaller than the sum of its proper divisors (233892079609500).

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

113402220411168 is a wasteful number, since it uses less digits than its factorization.

113402220411168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30289054626 (or 30289054615 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 113402220411168 its reverse (861114022204311), we get a palindrome (974516242615479).

The spelling of 113402220411168 in words is "one hundred thirteen trillion, four hundred two billion, two hundred twenty million, four hundred eleven thousand, one hundred sixty-eight".