7345883288241 has 9 divisors (see below), whose sum is σ = 10610732050009. Its totient is φ = 4897250104836.

The previous prime is 7345883288231. The next prime is 7345883288243. The reversal of 7345883288241 is 1428823885437.

The square root of 7345883288241 is 2710329.

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

7345883288241 is a `hidden beast` number, since 7 + 3 + 4 + 588 + 3 + 2 + 8 + 8 + 2 + 41 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 7345883288241 - 2¹¹ = 7345883286193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7345883288243) 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, 7679266 + ... + 8582708.

Almost surely, 2^{7345883288241} is an apocalyptic number.

7345883288241 is the 2710329-th square number.

7345883288241 is the 1355165-th centered octagonal number.

It is an amenable number.

7345883288241 is a deficient number, since it is larger than the sum of its proper divisors (3264848761768).

7345883288241 is an frugal number, since it uses more digits than its factorization.

7345883288241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806892 (or 903446 counting only the distinct ones).

The product of its digits is 82575360, while the sum is 63.

The spelling of 7345883288241 in words is "seven trillion, three hundred forty-five billion, eight hundred eighty-three million, two hundred eighty-eight thousand, two hundred forty-one".