113258641572000 has 576 divisors, whose sum is σ = 429661378298880. Its totient is φ = 28184538624000.

The previous prime is 113258641571969. The next prime is 113258641572017. The reversal of 113258641572000 is 275146852311.

113258641572000 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 586 + 41 + 5 + 7 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32279881 + ... + 35616119.

It is an arithmetic number, because the mean of its divisors is an integer number (745939892880).

Almost surely, 2^{113258641572000} is an apocalyptic number.

113258641572000 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 113258641572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214830689149440).

113258641572000 is an abundant number, since it is smaller than the sum of its proper divisors (316402736726880).

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

113258641572000 is a wasteful number, since it uses less digits than its factorization.

113258641572000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336334 (or 3336313 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 113258641572000 in words is "one hundred thirteen trillion, two hundred fifty-eight billion, six hundred forty-one million, five hundred seventy-two thousand".