113345434400 has 144 divisors (see below), whose sum is σ = 302148348768. Its totient is φ = 41177088000.

The previous prime is 113345434379. The next prime is 113345434427. The reversal of 113345434400 is 4434543311.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10140815 + ... + 10151985.

It is an arithmetic number, because the mean of its divisors is an integer number (2098252422).

Almost surely, 2^113345434400 is an apocalyptic number.

113345434400 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 113345434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151074174384).

113345434400 is an abundant number, since it is smaller than the sum of its proper divisors (188802914368).

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

113345434400 is a wasteful number, since it uses less digits than its factorization.

113345434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12355 (or 12342 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 113345434400 its reverse (4434543311), we get a palindrome (117779977711).

It can be divided in two parts, 113345 and 434400, that added together give a palindrome (547745).

The spelling of 113345434400 in words is "one hundred thirteen billion, three hundred forty-five million, four hundred thirty-four thousand, four hundred".