993911296401 has 9 divisors (see below), whose sum is σ = 1435653970491. Its totient is φ = 662605537032.

The previous prime is 993911296393. The next prime is 993911296439. The reversal of 993911296401 is 104692119399.

It is a happy number.

The square root of 993911296401 is 996951.

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

993911296401 is a `hidden beast` number, since 9 + 9 + 39 + 112 + 96 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 346008650625 + 647902645776 = 588225^2 + 804924^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 993911296401 - 2³ = 993911296393 is a prime.

It is a super-2 number, since 2×993911296401² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (993911296801) 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, 2824695 + ... + 3157011.

Almost surely, 2^993911296401 is an apocalyptic number.

993911296401 is the 996951-st square number.

993911296401 is the 498476-th centered octagonal number.

It is an amenable number.

993911296401 is a deficient number, since it is larger than the sum of its proper divisors (441742674090).

993911296401 is an frugal number, since it uses more digits than its factorization.

993911296401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664640 (or 332320 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 993911296401 in words is "nine hundred ninety-three billion, nine hundred eleven million, two hundred ninety-six thousand, four hundred one".