114505403011125 has 128 divisors (see below), whose sum is σ = 221107877093376. Its totient is φ = 51545581632000.

The previous prime is 114505403011091. The next prime is 114505403011183. The reversal of 114505403011125 is 521110304505411.

It is not a de Polignac number, because 114505403011125 - 2¹⁰ = 114505403010101 is a prime.

It is a super-2 number, since 2×114505403011125² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45685545 + ... + 48126705.

It is an arithmetic number, because the mean of its divisors is an integer number (1727405289792).

Almost surely, 2^{114505403011125} is an apocalyptic number.

114505403011125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114505403011125 is a deficient number, since it is larger than the sum of its proper divisors (106602474082251).

114505403011125 is a wasteful number, since it uses less digits than its factorization.

114505403011125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441460 (or 2441450 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 33.

Adding to 114505403011125 its reverse (521110304505411), we get a palindrome (635615707516536).

The spelling of 114505403011125 in words is "one hundred fourteen trillion, five hundred five billion, four hundred three million, eleven thousand, one hundred twenty-five".