115304542350400 has 168 divisors, whose sum is σ = 307312121406024. Its totient is φ = 42327891148800.

The previous prime is 115304542350343. The next prime is 115304542350401. The reversal of 115304542350400 is 4053245403511.

It can be written as a sum of positive squares in 12 ways, for example, as 53994514825216 + 61310027525184 = 7348096^2 + 7830072^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 115304542350400.

It is not an unprimeable number, because it can be changed into a prime (115304542350401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12423241 + ... + 19620040.

It is an arithmetic number, because the mean of its divisors is an integer number (1829238817893).

Almost surely, 2^{115304542350400} is an apocalyptic number.

115304542350400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115304542350400 is an abundant number, since it is smaller than the sum of its proper divisors (192007579055624).

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

115304542350400 is a wasteful number, since it uses less digits than its factorization.

115304542350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32043489 (or 32043474 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

Adding to 115304542350400 its reverse (4053245403511), we get a palindrome (119357787753911).

The spelling of 115304542350400 in words is "one hundred fifteen trillion, three hundred four billion, five hundred forty-two million, three hundred fifty thousand, four hundred".