93148915843201 has 2 divisors, whose sum is σ = 93148915843202. Its totient is φ = 93148915843200.

The previous prime is 93148915843169. The next prime is 93148915843223. The reversal of 93148915843201 is 10234851984139.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74134510819600 + 19014405023601 = 8610140^2 + 4360551^2 .

It is an emirp because it is prime and its reverse (10234851984139) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 93148915843201 - 2⁵ = 93148915843169 is a prime.

It is not a weakly prime, because it can be changed into another prime (93148915843271) 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 as a sum of consecutive naturals, namely, 46574457921600 + 46574457921601.

It is an arithmetic number, because the mean of its divisors is an integer number (46574457921601).

Almost surely, 2^{93148915843201} is an apocalyptic number.

It is an amenable number.

93148915843201 is a deficient number, since it is larger than the sum of its proper divisors (1).

93148915843201 is an equidigital number, since it uses as much as digits as its factorization.

93148915843201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7464960, while the sum is 58.

The spelling of 93148915843201 in words is "ninety-three trillion, one hundred forty-eight billion, nine hundred fifteen million, eight hundred forty-three thousand, two hundred one".