115314315514240 has 64 divisors (see below), whose sum is σ = 276110169671520. Its totient is φ = 46052626636800.

The previous prime is 115314315514169. The next prime is 115314315514241. The reversal of 115314315514240 is 42415513413511.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 115314315514193 and 115314315514202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115314315514241) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 142368441 + ... + 143176120.

Almost surely, 2^{115314315514240} is an apocalyptic number.

115314315514240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115314315514240 is an abundant number, since it is smaller than the sum of its proper divisors (160795854157280).

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

115314315514240 is an equidigital number, since it uses as much as digits as its factorization.

115314315514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285545211 (or 285545199 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

Adding to 115314315514240 its reverse (42415513413511), we get a palindrome (157729828927751).

The spelling of 115314315514240 in words is "one hundred fifteen trillion, three hundred fourteen billion, three hundred fifteen million, five hundred fourteen thousand, two hundred forty".