993253222352399 has 8 divisors (see below), whose sum is σ = 993343183377600. Its totient is φ = 993163263120000.

The previous prime is 993253222352387. The next prime is 993253222352491.

993253222352399 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-993253222352399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993253222352329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1267886474 + ... + 1268669624.

It is an arithmetic number, because the mean of its divisors is an integer number (124167897922200).

Almost surely, 2^{993253222352399} is an apocalyptic number.

993253222352399 is a deficient number, since it is larger than the sum of its proper divisors (89961025201).

993253222352399 is a wasteful number, since it uses less digits than its factorization.

993253222352399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896401.

The product of its digits is 425152800, while the sum is 68.

The spelling of 993253222352399 in words is "nine hundred ninety-three trillion, two hundred fifty-three billion, two hundred twenty-two million, three hundred fifty-two thousand, three hundred ninety-nine".