346189847641 has 27 divisors (see below), whose sum is σ = 385487709789. Its totient is φ = 310664112000.

The previous prime is 346189847629. The next prime is 346189847651. The reversal of 346189847641 is 146748981643.

The square root of 346189847641 is 588379.

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 633982041 + 345555865600 = 25179^2 + 587840^2 .

It is not a de Polignac number, because 346189847641 - 2⁷ = 346189847513 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 346189847641.

It is not an unprimeable number, because it can be changed into a prime (346189847621) 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, 576022741 + ... + 576023341.

Almost surely, 2^346189847641 is an apocalyptic number.

346189847641 is the 588379-th square number.

346189847641 is the 294190-th centered octagonal number.

It is an amenable number.

346189847641 is a deficient number, since it is larger than the sum of its proper divisors (39297862148).

346189847641 is an frugal number, since it uses more digits than its factorization.

346189847641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 701 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 61.

The spelling of 346189847641 in words is "three hundred forty-six billion, one hundred eighty-nine million, eight hundred forty-seven thousand, six hundred forty-one".