114524221504401 has 12 divisors (see below), whose sum is σ = 165460498074612. Its totient is φ = 76332578279136.

The previous prime is 114524221504393. The next prime is 114524221504403. The reversal of 114524221504401 is 104405122425411.

It is a happy number.

114524221504401 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 24 + 221 + 5 + 0 + 4 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 723886164225 + 113800335340176 = 850815^2 + 10667724^2 .

It is not a de Polignac number, because 114524221504401 - 2³ = 114524221504393 is a prime.

It is a super-2 number, since 2×114524221504401² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114524221504403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1408517406 + ... + 1408598711.

It is an arithmetic number, because the mean of its divisors is an integer number (13788374839551).

Almost surely, 2^{114524221504401} is an apocalyptic number.

It is an amenable number.

114524221504401 is a deficient number, since it is larger than the sum of its proper divisors (50936276570211).

114524221504401 is a wasteful number, since it uses less digits than its factorization.

114524221504401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817120640 (or 2817120637 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 114524221504401 its reverse (104405122425411), we get a palindrome (218929343929812).

The spelling of 114524221504401 in words is "one hundred fourteen trillion, five hundred twenty-four billion, two hundred twenty-one million, five hundred four thousand, four hundred one".