113074341120 has 720 divisors, whose sum is σ = 446085437952. Its totient is φ = 27172454400.

The previous prime is 113074341113. The next prime is 113074341137. The reversal of 113074341120 is 21143470311.

113074341120 is a `hidden beast` number, since 1 + 1 + 307 + 4 + 341 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57956145 + ... + 57958095.

Almost surely, 2^113074341120 is an apocalyptic number.

113074341120 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 113074341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223042718976).

113074341120 is an abundant number, since it is smaller than the sum of its proper divisors (333011096832).

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

113074341120 is a wasteful number, since it uses less digits than its factorization.

113074341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 113074341120 in words is "one hundred thirteen billion, seventy-four million, three hundred forty-one thousand, one hundred twenty".