114523215111513 has 24 divisors (see below), whose sum is σ = 178194591174600. Its totient is φ = 70457085826560.

The previous prime is 114523215111511. The next prime is 114523215111533. The reversal of 114523215111513 is 315111512325411.

114523215111513 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 2 + 3 + 21 + 5 + 111 + 513 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 673397489664 + 113849817621849 = 820608^2 + 10670043^2 .

It is not a de Polignac number, because 114523215111513 - 2¹ = 114523215111511 is a prime.

It is a super-2 number, since 2×114523215111513² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114523215111511) 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, 129689038 + ... + 130569111.

It is an arithmetic number, because the mean of its divisors is an integer number (7424774632275).

Almost surely, 2^{114523215111513} is an apocalyptic number.

114523215111513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114523215111513 is a deficient number, since it is larger than the sum of its proper divisors (63671376063087).

114523215111513 is a wasteful number, since it uses less digits than its factorization.

114523215111513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260261929 (or 260261926 counting only the distinct ones).

The product of its digits is 18000, while the sum is 36.

Adding to 114523215111513 its reverse (315111512325411), we get a palindrome (429634727436924).

The spelling of 114523215111513 in words is "one hundred fourteen trillion, five hundred twenty-three billion, two hundred fifteen million, one hundred eleven thousand, five hundred thirteen".