993165561399 has 32 divisors (see below), whose sum is σ = 1451063808000. Its totient is φ = 599228574560.

The previous prime is 993165561389. The next prime is 993165561413.

993165561399 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 993165561399 - 2²⁷ = 993031343671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993165561389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30924652 + ... + 30956750.

It is an arithmetic number, because the mean of its divisors is an integer number (45345744000).

Almost surely, 2^993165561399 is an apocalyptic number.

993165561399 is a deficient number, since it is larger than the sum of its proper divisors (457898246601).

993165561399 is a wasteful number, since it uses less digits than its factorization.

993165561399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36275.

The product of its digits is 53144100, while the sum is 66.

The spelling of 993165561399 in words is "nine hundred ninety-three billion, one hundred sixty-five million, five hundred sixty-one thousand, three hundred ninety-nine".