114515120511 has 24 divisors (see below), whose sum is σ = 186670420560. Its totient is φ = 67009891200.

The previous prime is 114515120383. The next prime is 114515120543. The reversal of 114515120511 is 115021515411.

114515120511 is a `hidden beast` number, since 1 + 1 + 451 + 5 + 1 + 205 + 1 + 1 = 666.

It is not a de Polignac number, because 114515120511 - 2⁷ = 114515120383 is a prime.

It is a super-2 number, since 2×114515120511² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114515020511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19940550 + ... + 19946291.

It is an arithmetic number, because the mean of its divisors is an integer number (7777934190).

Almost surely, 2^114515120511 is an apocalyptic number.

114515120511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114515120511 is a deficient number, since it is larger than the sum of its proper divisors (72155300049).

114515120511 is a wasteful number, since it uses less digits than its factorization.

114515120511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39886887 (or 39886884 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 27.

Adding to 114515120511 its reverse (115021515411), we get a palindrome (229536635922).

The spelling of 114515120511 in words is "one hundred fourteen billion, five hundred fifteen million, one hundred twenty thousand, five hundred eleven".