113393343442176 has 216 divisors, whose sum is σ = 378909450751104. Its totient is φ = 31941786562560.

The previous prime is 113393343442039. The next prime is 113393343442193. The reversal of 113393343442176 is 671244343393311.

113393343442176 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 9 + 33 + 434 + 4 + 2 + 176 = 666.

113393343442176 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113393343442176² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48367851 + ... + 50658026.

It is an arithmetic number, because the mean of its divisors is an integer number (1754210420144).

Almost surely, 2^{113393343442176} is an apocalyptic number.

113393343442176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

113393343442176 is an abundant number, since it is smaller than the sum of its proper divisors (265516107308928).

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

113393343442176 is an equidigital number, since it uses as much as digits as its factorization.

113393343442176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99025977 (or 99025960 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 54.

The spelling of 113393343442176 in words is "one hundred thirteen trillion, three hundred ninety-three billion, three hundred forty-three million, four hundred forty-two thousand, one hundred seventy-six".