9779248498041 has 81 divisors (see below), whose sum is σ = 15639181643631. Its totient is φ = 5884100006400.

The previous prime is 9779248498007. The next prime is 9779248498073. The reversal of 9779248498041 is 1408948429779.

The square root of 9779248498041 is 3127179.

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

9779248498041 is a `hidden beast` number, since 9 + 7 + 7 + 92 + 4 + 8 + 498 + 0 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2369398311225 + 7409850186816 = 1539285^2 + 2722104^2 .

It is not a de Polignac number, because 9779248498041 - 2¹⁷ = 9779248366969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9779248498081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 19917002806 + ... + 19917003296.

Almost surely, 2^{9779248498041} is an apocalyptic number.

9779248498041 is the 3127179-th square number.

9779248498041 is the 1563590-th centered octagonal number.

It is an amenable number.

9779248498041 is a deficient number, since it is larger than the sum of its proper divisors (5859933145590).

9779248498041 is an equidigital number, since it uses as much as digits as its factorization.

9779248498041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 9779248498041 in words is "nine trillion, seven hundred seventy-nine billion, two hundred forty-eight million, four hundred ninety-eight thousand, forty-one".