114208285905 has 288 divisors, whose sum is σ = 259580298240. Its totient is φ = 47290521600.

The previous prime is 114208285903. The next prime is 114208285913. The reversal of 114208285905 is 509582802411.

114208285905 is a `hidden beast` number, since 1 + 14 + 20 + 8 + 28 + 590 + 5 = 666.

It is not a de Polignac number, because 114208285905 - 2¹ = 114208285903 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (114208285903) 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 287 ways as a sum of consecutive naturals, for example, 630984915 + ... + 630985095.

It is an arithmetic number, because the mean of its divisors is an integer number (901320480).

Almost surely, 2^114208285905 is an apocalyptic number.

114208285905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114208285905 is an abundant number, since it is smaller than the sum of its proper divisors (145372012335).

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

114208285905 is a wasteful number, since it uses less digits than its factorization.

114208285905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 114208285905 in words is "one hundred fourteen billion, two hundred eight million, two hundred eighty-five thousand, nine hundred five".