993868424868399 has 16 divisors (see below), whose sum is σ = 1362305958743520. Its totient is φ = 644039998888320.

The previous prime is 993868424868359. The next prime is 993868424868413.

993868424868399 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 993868424868399 - 2²¹ = 993868422771247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993868424868349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4384690584 + ... + 4384917245.

It is an arithmetic number, because the mean of its divisors is an integer number (85144122421470).

Almost surely, 2^{993868424868399} is an apocalyptic number.

993868424868399 is a deficient number, since it is larger than the sum of its proper divisors (368437533875121).

993868424868399 is a wasteful number, since it uses less digits than its factorization.

993868424868399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8769608890.

The product of its digits is 278628139008, while the sum is 96.

The spelling of 993868424868399 in words is "nine hundred ninety-three trillion, eight hundred sixty-eight billion, four hundred twenty-four million, eight hundred sixty-eight thousand, three hundred ninety-nine".