114515364401 has 24 divisors (see below), whose sum is σ = 124483595880. Its totient is φ = 105208621056.

The previous prime is 114515364377. The next prime is 114515364427. The reversal of 114515364401 is 104463515411.

It can be written as a sum of positive squares in 4 ways, for example, as 125978176 + 114389386225 = 11224^2 + 338215^2 .

It is not a de Polignac number, because 114515364401 - 2¹⁸ = 114515102257 is a prime.

It is a super-2 number, since 2×114515364401² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114515364701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2941475 + ... + 2980151.

It is an arithmetic number, because the mean of its divisors is an integer number (5186816495).

Almost surely, 2^114515364401 is an apocalyptic number.

It is an amenable number.

114515364401 is a deficient number, since it is larger than the sum of its proper divisors (9968231479).

114515364401 is a wasteful number, since it uses less digits than its factorization.

114515364401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38945 (or 38922 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 114515364401 its reverse (104463515411), we get a palindrome (218978879812).

The spelling of 114515364401 in words is "one hundred fourteen billion, five hundred fifteen million, three hundred sixty-four thousand, four hundred one".