113223314400 has 288 divisors, whose sum is σ = 439504869888. Its totient is φ = 24754329600.

The previous prime is 113223314359. The next prime is 113223314401. The reversal of 113223314400 is 4413322311.

It is a happy number.

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 (113223314401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239890 + ... + 532910.

It is an arithmetic number, because the mean of its divisors is an integer number (1526058576).

Almost surely, 2^113223314400 is an apocalyptic number.

113223314400 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 113223314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219752434944).

113223314400 is an abundant number, since it is smaller than the sum of its proper divisors (326281555488).

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

113223314400 is a wasteful number, since it uses less digits than its factorization.

113223314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293074 (or 293061 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 113223314400 its reverse (4413322311), we get a palindrome (117636636711).

The spelling of 113223314400 in words is "one hundred thirteen billion, two hundred twenty-three million, three hundred fourteen thousand, four hundred".