114971550401 has 2 divisors, whose sum is σ = 114971550402. Its totient is φ = 114971550400.

The previous prime is 114971550373. The next prime is 114971550553. The reversal of 114971550401 is 104055179411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79335172225 + 35636378176 = 281665^2 + 188776^2 .

It is an emirp because it is prime and its reverse (104055179411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114971550401 - 2¹⁴ = 114971534017 is a prime.

It is not a weakly prime, because it can be changed into another prime (114971550301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57485775200 + 57485775201.

It is an arithmetic number, because the mean of its divisors is an integer number (57485775201).

Almost surely, 2^114971550401 is an apocalyptic number.

It is an amenable number.

114971550401 is a deficient number, since it is larger than the sum of its proper divisors (1).

114971550401 is an equidigital number, since it uses as much as digits as its factorization.

114971550401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 38.

The spelling of 114971550401 in words is "one hundred fourteen billion, nine hundred seventy-one million, five hundred fifty thousand, four hundred one".