9835392916449 has 27 divisors (see below), whose sum is σ = 15091769117113. Its totient is φ = 6171126571392.

The previous prime is 9835392916417. The next prime is 9835392916487. The reversal of 9835392916449 is 9446192935389.

The square root of 9835392916449 is 3136143.

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

9835392916449 is a `hidden beast` number, since 9 + 8 + 3 + 5 + 3 + 92 + 91 + 6 + 449 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6065349360849 + 3770043555600 = 2462793^2 + 1941660^2 .

It is not a de Polignac number, because 9835392916449 - 2⁵ = 9835392916417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9835392916499) 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, 159912547 + ... + 159974039.

Almost surely, 2^{9835392916449} is an apocalyptic number.

9835392916449 is the 3136143-rd square number.

9835392916449 is the 1568072-nd centered octagonal number.

It is an amenable number.

9835392916449 is a deficient number, since it is larger than the sum of its proper divisors (5256376200664).

9835392916449 is an frugal number, since it uses more digits than its factorization.

9835392916449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123026 (or 61513 counting only the distinct ones).

The product of its digits is 453496320, while the sum is 72.

It can be divided in two parts, 9835392 and 916449, that added together give a square (10751841 = 3279²).

The spelling of 9835392916449 in words is "nine trillion, eight hundred thirty-five billion, three hundred ninety-two million, nine hundred sixteen thousand, four hundred forty-nine".