9420645460249 has 9 divisors (see below), whose sum is σ = 9438194582271. Its totient is φ = 9403128925200.

The previous prime is 9420645460223. The next prime is 9420645460357.

It is a happy number.

The square root of 9420645460249 is 3069307.

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

9420645460249 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 7918353997849 + 1502291462400 = 2813957^2 + 1225680^2 .

It is not a de Polignac number, because 9420645460249 - 2²¹ = 9420643363097 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 9420645460249.

It is not an unprimeable number, because it can be changed into a prime (9420645430249) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1844650954 + ... + 1844656060.

It is an arithmetic number, because the mean of its divisors is an integer number (1048688286919).

Almost surely, 2^{9420645460249} is an apocalyptic number.

9420645460249 is the 3069307-th square number.

9420645460249 is the 1534654-th centered octagonal number.

It is an amenable number.

9420645460249 is a deficient number, since it is larger than the sum of its proper divisors (17549122022).

9420645460249 is an frugal number, since it uses more digits than its factorization.

9420645460249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11416 (or 5708 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 55.

The spelling of 9420645460249 in words is "nine trillion, four hundred twenty billion, six hundred forty-five million, four hundred sixty thousand, two hundred forty-nine".