115288431327204 has 192 divisors, whose sum is σ = 305522302498560. Its totient is φ = 33613936312320.

The previous prime is 115288431327203. The next prime is 115288431327301. The reversal of 115288431327204 is 402723134882511.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (115288431327203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1576212474 + ... + 1576285614.

It is an arithmetic number, because the mean of its divisors is an integer number (1591261992180).

Almost surely, 2^{115288431327204} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115288431327204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152761151249280).

115288431327204 is an abundant number, since it is smaller than the sum of its proper divisors (190233871171356).

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

115288431327204 is a wasteful number, since it uses less digits than its factorization.

115288431327204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80910 (or 80908 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 115288431327204 in words is "one hundred fifteen trillion, two hundred eighty-eight billion, four hundred thirty-one million, three hundred twenty-seven thousand, two hundred four".