114960384001 has 2 divisors, whose sum is σ = 114960384002. Its totient is φ = 114960384000.

The previous prime is 114960383977. The next prime is 114960384023. The reversal of 114960384001 is 100483069411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86845143025 + 28115240976 = 294695^2 + 167676^2 .

It is a cyclic number.

It is not a de Polignac number, because 114960384001 - 2⁷ = 114960383873 is a prime.

It is not a weakly prime, because it can be changed into another prime (114960384031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57480192000 + 57480192001.

It is an arithmetic number, because the mean of its divisors is an integer number (57480192001).

Almost surely, 2^114960384001 is an apocalyptic number.

It is an amenable number.

114960384001 is a deficient number, since it is larger than the sum of its proper divisors (1).

114960384001 is an equidigital number, since it uses as much as digits as its factorization.

114960384001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 114960384001 in words is "one hundred fourteen billion, nine hundred sixty million, three hundred eighty-four thousand, one".