115224934400 has 288 divisors, whose sum is σ = 299976112800. Its totient is φ = 43833753600.

The previous prime is 115224934397. The next prime is 115224934417. The reversal of 115224934400 is 4439422511.

It is a congruent number.

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, 105420254 + ... + 105421346.

It is an arithmetic number, because the mean of its divisors is an integer number (1041583725).

Almost surely, 2^115224934400 is an apocalyptic number.

115224934400 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 115224934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149988056400).

115224934400 is an abundant number, since it is smaller than the sum of its proper divisors (184751178400).

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

115224934400 is a wasteful number, since it uses less digits than its factorization.

115224934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 115224934400 in words is "one hundred fifteen billion, two hundred twenty-four million, nine hundred thirty-four thousand, four hundred".