114313122015345 has 96 divisors (see below), whose sum is σ = 216502308172800. Its totient is φ = 55335713500800.

The previous prime is 114313122015293. The next prime is 114313122015409. The reversal of 114313122015345 is 543510221313411.

114313122015345 is a `hidden beast` number, since 1 + 1 + 431 + 3 + 12 + 20 + 153 + 45 = 666.

It is not a de Polignac number, because 114313122015345 - 2¹⁰ = 114313122014321 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1547684026 + ... + 1547757884.

It is an arithmetic number, because the mean of its divisors is an integer number (2255232376800).

Almost surely, 2^{114313122015345} is an apocalyptic number.

114313122015345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114313122015345 is a deficient number, since it is larger than the sum of its proper divisors (102189186157455).

114313122015345 is a wasteful number, since it uses less digits than its factorization.

114313122015345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78851 (or 78848 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 114313122015345 its reverse (543510221313411), we get a palindrome (657823343328756).

The spelling of 114313122015345 in words is "one hundred fourteen trillion, three hundred thirteen billion, one hundred twenty-two million, fifteen thousand, three hundred forty-five".