114515834805 has 32 divisors (see below), whose sum is σ = 204170486400. Its totient is φ = 60899078016.

The previous prime is 114515834803. The next prime is 114515834833. The reversal of 114515834805 is 508438515411.

114515834805 is a `hidden beast` number, since 1 + 14 + 5 + 158 + 3 + 480 + 5 = 666.

It is not a de Polignac number, because 114515834805 - 2¹ = 114515834803 is a prime.

It is a super-2 number, since 2×114515834805² (a number of 23 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114515834803) 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 31 ways as a sum of consecutive naturals, for example, 1175440 + ... + 1269129.

It is an arithmetic number, because the mean of its divisors is an integer number (6380327700).

Almost surely, 2^114515834805 is an apocalyptic number.

114515834805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114515834805 is a deficient number, since it is larger than the sum of its proper divisors (89654651595).

114515834805 is a wasteful number, since it uses less digits than its factorization.

114515834805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444930 (or 2444924 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 114515834805 in words is "one hundred fourteen billion, five hundred fifteen million, eight hundred thirty-four thousand, eight hundred five".