993436804369 has 9 divisors (see below), whose sum is σ = 995587369329. Its totient is φ = 991290881280.

The previous prime is 993436804307. The next prime is 993436804391. The reversal of 993436804369 is 963408634399.

The square root of 993436804369 is 996713.

It is a perfect power (a square), and thus also a powerful number.

993436804369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 60110780625 + 933326023744 = 245175^2 + 966088^2 .

It is not a de Polignac number, because 993436804369 - 2²¹ = 993434707217 is a prime.

It is a super-2 number, since 2×993436804369² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 993436804369.

It is not an unprimeable number, because it can be changed into a prime (993436804169) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 670787109 + ... + 670788589.

Almost surely, 2^993436804369 is an apocalyptic number.

993436804369 is the 996713-rd square number.

993436804369 is the 498357-th centered octagonal number.

It is an amenable number.

993436804369 is a deficient number, since it is larger than the sum of its proper divisors (2150564960).

993436804369 is an frugal number, since it uses more digits than its factorization.

993436804369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 90699264, while the sum is 64.

Multiplying 993436804369 by its sum of digits (64), we get a square (63579955479616 = 7973704²).

The spelling of 993436804369 in words is "nine hundred ninety-three billion, four hundred thirty-six million, eight hundred four thousand, three hundred sixty-nine".