9460305729121 has 27 divisors (see below), whose sum is σ = 10304843866443. Its totient is φ = 8681027846400.

The previous prime is 9460305729079. The next prime is 9460305729181. The reversal of 9460305729121 is 1219275030649.

The square root of 9460305729121 is 3075761.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8671193306721 + 789112422400 = 2944689^2 + 888320^2 .

It is not a de Polignac number, because 9460305729121 - 2¹¹ = 9460305727073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9460305729181) 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 26 ways as a sum of consecutive naturals, for example, 7877023321 + ... + 7877024521.

Almost surely, 2^{9460305729121} is an apocalyptic number.

9460305729121 is the 3075761-st square number.

9460305729121 is the 1537881-st centered octagonal number.

It is an amenable number.

9460305729121 is a deficient number, since it is larger than the sum of its proper divisors (844538137322).

9460305729121 is an frugal number, since it uses more digits than its factorization.

9460305729121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 9460305729121 by its sum of digits (49), we get a square (463554980726929 = 21530327²).

The spelling of 9460305729121 in words is "nine trillion, four hundred sixty billion, three hundred five million, seven hundred twenty-nine thousand, one hundred twenty-one".