113243921968320 has 1344 divisors, whose sum is σ = 475678043043840. Its totient is φ = 25281430732800.

The previous prime is 113243921968301. The next prime is 113243921968321. The reversal of 113243921968320 is 23869129342311.

It is a happy number.

113243921968320 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 43 + 9 + 219 + 68 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (113243921968321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4792570266 + ... + 4792593894.

It is an arithmetic number, because the mean of its divisors is an integer number (353927115360).

Almost surely, 2^{113243921968320} is an apocalyptic number.

113243921968320 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 113243921968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237839021521920).

113243921968320 is an abundant number, since it is smaller than the sum of its proper divisors (362434121075520).

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

113243921968320 is a wasteful number, since it uses less digits than its factorization.

113243921968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24116 (or 24094 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 113243921968320 in words is "one hundred thirteen trillion, two hundred forty-three billion, nine hundred twenty-one million, nine hundred sixty-eight thousand, three hundred twenty".