115234400032000 has 72 divisors (see below), whose sum is σ = 287063294859432. Its totient is φ = 46093760000000.

The previous prime is 115234400031977. The next prime is 115234400032001. The reversal of 115234400032000 is 230004432511.

It can be written as a sum of positive squares in 4 ways, for example, as 5385889845504 + 109848510186496 = 2320752^2 + 10480864^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115234400032001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1800505501 + ... + 1800569500.

It is an arithmetic number, because the mean of its divisors is an integer number (3986990206381).

Almost surely, 2^{115234400032000} is an apocalyptic number.

115234400032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115234400032000 is an abundant number, since it is smaller than the sum of its proper divisors (171828894827432).

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

115234400032000 is an frugal number, since it uses more digits than its factorization.

115234400032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601075032 (or 3601075008 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 115234400032000 its reverse (230004432511), we get a palindrome (115464404464511).

The spelling of 115234400032000 in words is "one hundred fifteen trillion, two hundred thirty-four billion, four hundred million, thirty-two thousand".