114384000015 has 64 divisors (see below), whose sum is σ = 206332963200. Its totient is φ = 60115156992.

The previous prime is 114383999921. The next prime is 114384000023. The reversal of 114384000015 is 510000483411.

It is a happy number.

It is not a de Polignac number, because 114384000015 - 2¹⁰ = 114383998991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3032391 + ... + 3069879.

It is an arithmetic number, because the mean of its divisors is an integer number (3223952550).

Almost surely, 2^114384000015 is an apocalyptic number.

114384000015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114384000015 is a deficient number, since it is larger than the sum of its proper divisors (91948963185).

114384000015 is a wasteful number, since it uses less digits than its factorization.

114384000015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37833 (or 37827 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 114384000015 its reverse (510000483411), we get a palindrome (624384483426).

The spelling of 114384000015 in words is "one hundred fourteen billion, three hundred eighty-four million, fifteen", and thus it is an aban number.