2353398378241 has 27 divisors (see below), whose sum is σ = 2501408324961. Its totient is φ = 2213823268584.

The previous prime is 2353398378239. The next prime is 2353398378281. The reversal of 2353398378241 is 1428738933532.

The square root of 2353398378241 is 1534079.

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

2353398378241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2353398378241 - 2¹ = 2353398378239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2353398378281) 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, 7665792610 + ... + 7665792916.

Almost surely, 2^{2353398378241} is an apocalyptic number.

2353398378241 is the 1534079-th square number.

2353398378241 is the 767040-th centered octagonal number.

It is an amenable number.

2353398378241 is a deficient number, since it is larger than the sum of its proper divisors (148009946720).

2353398378241 is an frugal number, since it uses more digits than its factorization.

2353398378241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 589 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 58.

The spelling of 2353398378241 in words is "two trillion, three hundred fifty-three billion, three hundred ninety-eight million, three hundred seventy-eight thousand, two hundred forty-one".