113424454400 has 216 divisors, whose sum is σ = 285140281104. Its totient is φ = 44664832000.

The previous prime is 113424454399. The next prime is 113424454411. The reversal of 113424454400 is 4454424311.

113424454400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 146732414 + ... + 146733186.

It is an arithmetic number, because the mean of its divisors is an integer number (1320093894).

Almost surely, 2^113424454400 is an apocalyptic number.

113424454400 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 113424454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142570140552).

113424454400 is an abundant number, since it is smaller than the sum of its proper divisors (171715826704).

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

113424454400 is a wasteful number, since it uses less digits than its factorization.

113424454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 113424454400 its reverse (4454424311), we get a palindrome (117878878711).

The spelling of 113424454400 in words is "one hundred thirteen billion, four hundred twenty-four million, four hundred fifty-four thousand, four hundred".