93648768001 has 2 divisors, whose sum is σ = 93648768002. Its totient is φ = 93648768000.

The previous prime is 93648767999. The next prime is 93648768079. The reversal of 93648768001 is 10086784639.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89952006400 + 3696761601 = 299920^2 + 60801^2 .

It is an emirp because it is prime and its reverse (10086784639) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 93648768001 - 2¹ = 93648767999 is a prime.

Together with 93648767999, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 93648768001.

It is not a weakly prime, because it can be changed into another prime (93648768091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46824384000 + 46824384001.

It is an arithmetic number, because the mean of its divisors is an integer number (46824384001).

Almost surely, 2^93648768001 is an apocalyptic number.

It is an amenable number.

93648768001 is a deficient number, since it is larger than the sum of its proper divisors (1).

93648768001 is an equidigital number, since it uses as much as digits as its factorization.

93648768001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 93648768001 in words is "ninety-three billion, six hundred forty-eight million, seven hundred sixty-eight thousand, one".