114401254221 has 12 divisors (see below), whose sum is σ = 165253488348. Its totient is φ = 76264164864.

The previous prime is 114401254207. The next prime is 114401254301. The reversal of 114401254221 is 122452104411.

114401254221 is a `hidden beast` number, since 1 + 1 + 4 + 401 + 254 + 2 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33111261225 + 81289992996 = 181965^2 + 285114^2 .

It is not a de Polignac number, because 114401254221 - 2⁹ = 114401253709 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114401258221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51370 + ... + 481083.

It is an arithmetic number, because the mean of its divisors is an integer number (13771124029).

Almost surely, 2^114401254221 is an apocalyptic number.

It is an amenable number.

114401254221 is a deficient number, since it is larger than the sum of its proper divisors (50852234127).

114401254221 is a wasteful number, since it uses less digits than its factorization.

114401254221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556332 (or 556329 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 114401254221 its reverse (122452104411), we get a palindrome (236853358632).

The spelling of 114401254221 in words is "one hundred fourteen billion, four hundred one million, two hundred fifty-four thousand, two hundred twenty-one".