114837128248401 has 16 divisors (see below), whose sum is σ = 183215931109120. Its totient is φ = 70669001998800.

The previous prime is 114837128248363. The next prime is 114837128248501. The reversal of 114837128248401 is 104842821738411.

It is a happy number.

114837128248401 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 37 + 128 + 2 + 484 + 0 + 1 = 666.

It is not a de Polignac number, because 114837128248401 - 2⁷ = 114837128248273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114837128248501) 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, 163585652425 + ... + 163585653126.

It is an arithmetic number, because the mean of its divisors is an integer number (11450995694320).

Almost surely, 2^{114837128248401} is an apocalyptic number.

It is an amenable number.

114837128248401 is a deficient number, since it is larger than the sum of its proper divisors (68378802860719).

114837128248401 is a wasteful number, since it uses less digits than its factorization.

114837128248401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327171305573 (or 327171305567 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 114837128248401 in words is "one hundred fourteen trillion, eight hundred thirty-seven billion, one hundred twenty-eight million, two hundred forty-eight thousand, four hundred one".