9996479681841 has 27 divisors (see below), whose sum is σ = 14920609560363. Its totient is φ = 6449152026960.

The previous prime is 9996479681831. The next prime is 9996479681893. The reversal of 9996479681841 is 1481869746999.

The square root of 9996479681841 is 3161721.

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

9996479681841 is a `hidden beast` number, since 9 + 9 + 9 + 6 + 479 + 68 + 1 + 84 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6098998248225 + 3897481433616 = 2469615^2 + 1974204^2 .

It is not a de Polignac number, because 9996479681841 - 2⁹ = 9996479681329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9996479681801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 294023055 + ... + 294057051.

Almost surely, 2^{9996479681841} is an apocalyptic number.

9996479681841 is the 3161721-st square number.

9996479681841 is the 1580861-st centered octagonal number.

It is an amenable number.

9996479681841 is a deficient number, since it is larger than the sum of its proper divisors (4924129878522).

9996479681841 is an frugal number, since it uses more digits than its factorization.

9996479681841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68062 (or 34031 counting only the distinct ones).

The product of its digits is 1693052928, while the sum is 81.

Multiplying 9996479681841 by its sum of digits (81), we get a square (809714854229121 = 28455489²).

The spelling of 9996479681841 in words is "nine trillion, nine hundred ninety-six billion, four hundred seventy-nine million, six hundred eighty-one thousand, eight hundred forty-one".