114511313310541 has 16 divisors (see below), whose sum is σ = 131695680025728. Its totient is φ = 97534193860800.

The previous prime is 114511313310529. The next prime is 114511313310623. The reversal of 114511313310541 is 145013313115411.

It is a cyclic number.

It is not a de Polignac number, because 114511313310541 - 2⁹ = 114511313310029 is a prime.

It is a super-2 number, since 2×114511313310541² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114511313310497 and 114511313310506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114511313310241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33596530 + ... + 36847651.

It is an arithmetic number, because the mean of its divisors is an integer number (8230980001608).

Almost surely, 2^{114511313310541} is an apocalyptic number.

It is an amenable number.

114511313310541 is a deficient number, since it is larger than the sum of its proper divisors (17184366715187).

114511313310541 is a wasteful number, since it uses less digits than its factorization.

114511313310541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70445652.

The product of its (nonzero) digits is 10800, while the sum is 34.

Adding to 114511313310541 its reverse (145013313115411), we get a palindrome (259524626425952).

The spelling of 114511313310541 in words is "one hundred fourteen trillion, five hundred eleven billion, three hundred thirteen million, three hundred ten thousand, five hundred forty-one".