115205968138464 has 120 divisors (see below), whose sum is σ = 387220059637488. Its totient is φ = 32915990891520.

The previous prime is 115205968138463. The next prime is 115205968138487. The reversal of 115205968138464 is 464831869502511.

It is a happy number.

115205968138464 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 0 + 5 + 96 + 81 + 3 + 8 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115205968138463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3174749497 + ... + 3174785784.

Almost surely, 2^{115205968138464} is an apocalyptic number.

115205968138464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

115205968138464 is an abundant number, since it is smaller than the sum of its proper divisors (272014091499024).

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

115205968138464 is an equidigital number, since it uses as much as digits as its factorization.

115205968138464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6349535310 (or 6349535293 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 115205968138464 in words is "one hundred fifteen trillion, two hundred five billion, nine hundred sixty-eight million, one hundred thirty-eight thousand, four hundred sixty-four".