113433432000 has 336 divisors, whose sum is σ = 435713904288. Its totient is φ = 25927372800.

The previous prime is 113433431971. The next prime is 113433432001. The reversal of 113433432000 is 234334311.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113433432001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1127772 + ... + 1224228.

Almost surely, 2^113433432000 is an apocalyptic number.

113433432000 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 113433432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217856952144).

113433432000 is an abundant number, since it is smaller than the sum of its proper divisors (322280472288).

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

113433432000 is an equidigital number, since it uses as much as digits as its factorization.

113433432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96501 (or 96474 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 113433432000 its reverse (234334311), we get a palindrome (113667766311).

The spelling of 113433432000 in words is "one hundred thirteen billion, four hundred thirty-three million, four hundred thirty-two thousand".