113000466432000 has 2880 divisors, whose sum is σ = 464465147328000. Its totient is φ = 24358079692800.

The previous prime is 113000466431921. The next prime is 113000466432001. The reversal of 113000466432000 is 234664000311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113000466432001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2627917823979 + ... + 2627917824021.

It is an arithmetic number, because the mean of its divisors is an integer number (161272620600).

Almost surely, 2^{113000466432000} is an apocalyptic number.

113000466432000 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 113000466432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232232573664000).

113000466432000 is an abundant number, since it is smaller than the sum of its proper divisors (351464680896000).

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

113000466432000 is an frugal number, since it uses more digits than its factorization.

113000466432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 113000466432000 in words is "one hundred thirteen trillion, four hundred sixty-six million, four hundred thirty-two thousand".