993136222631399 has 72 divisors (see below), whose sum is σ = 1363488888381984. Its totient is φ = 718092013900800.

The previous prime is 993136222631389. The next prime is 993136222631429.

It is a happy number.

993136222631399 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 993136222631399 - 2⁸ = 993136222631143 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993136222631339) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62232614 + ... + 76545219.

It is an arithmetic number, because the mean of its divisors is an integer number (18937345671972).

Almost surely, 2^{993136222631399} is an apocalyptic number.

993136222631399 is a deficient number, since it is larger than the sum of its proper divisors (370352665750585).

993136222631399 is a wasteful number, since it uses less digits than its factorization.

993136222631399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138777957 (or 138777939 counting only the distinct ones).

The product of its digits is 153055008, while the sum is 68.

The spelling of 993136222631399 in words is "nine hundred ninety-three trillion, one hundred thirty-six billion, two hundred twenty-two million, six hundred thirty-one thousand, three hundred ninety-nine".