9339741097801 has 27 divisors (see below), whose sum is σ = 9663714258709. Its totient is φ = 9026494006400.

The previous prime is 9339741097793. The next prime is 9339741097829. The reversal of 9339741097801 is 1087901479339.

The square root of 9339741097801 is 3056099.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6014515907401 + 3325225190400 = 2452451^2 + 1823520^2 .

It is not a de Polignac number, because 9339741097801 - 2³ = 9339741097793 is a prime.

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 9339741097801.

It is not an unprimeable number, because it can be changed into a prime (9339741097871) 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, 16414307445 + ... + 16414308013.

Almost surely, 2^{9339741097801} is an apocalyptic number.

9339741097801 is the 3056099-th square number.

9339741097801 is the 1528050-th centered octagonal number.

It is an amenable number.

9339741097801 is a deficient number, since it is larger than the sum of its proper divisors (323973160908).

9339741097801 is an frugal number, since it uses more digits than its factorization.

9339741097801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 61.

The spelling of 9339741097801 in words is "nine trillion, three hundred thirty-nine billion, seven hundred forty-one million, ninety-seven thousand, eight hundred one".