115844467200 has 1440 divisors, whose sum is σ = 504982589760. Its totient is φ = 23121100800.

The previous prime is 115844467153. The next prime is 115844467217. The reversal of 115844467200 is 2764448511.

It is a super-3 number, since 3×115844467200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 143 ways as a sum of consecutive naturals, for example, 600230304 + ... + 600230496.

It is an arithmetic number, because the mean of its divisors is an integer number (350682354).

Almost surely, 2^115844467200 is an apocalyptic number.

115844467200 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 115844467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252491294880).

115844467200 is an abundant number, since it is smaller than the sum of its proper divisors (389138122560).

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

115844467200 is a wasteful number, since it uses less digits than its factorization.

115844467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 115844467200 in words is "one hundred fifteen billion, eight hundred forty-four million, four hundred sixty-seven thousand, two hundred".