115506286353405 has 48 divisors (see below), whose sum is σ = 206110416208944. Its totient is φ = 59796025390080.

The previous prime is 115506286353383. The next prime is 115506286353431. The reversal of 115506286353405 is 504353682605511.

115506286353405 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 0 + 6 + 286 + 353 + 4 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14248375188804 + 101257911164601 = 3774702^2 + 10062699^2 .

It is not a de Polignac number, because 115506286353405 - 2¹³ = 115506286345213 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81689944 + ... + 83091873.

It is an arithmetic number, because the mean of its divisors is an integer number (4293967004353).

Almost surely, 2^{115506286353405} is an apocalyptic number.

115506286353405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

115506286353405 is a deficient number, since it is larger than the sum of its proper divisors (90604129855539).

115506286353405 is a wasteful number, since it uses less digits than its factorization.

115506286353405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164782286 (or 164782283 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 115506286353405 in words is "one hundred fifteen trillion, five hundred six billion, two hundred eighty-six million, three hundred fifty-three thousand, four hundred five".