34641805861441 has 9 divisors (see below), whose sum is σ = 34982011579809. Its totient is φ = 34304877304836.

The previous prime is 34641805861427. The next prime is 34641805861457. The reversal of 34641805861441 is 14416850814643.

It is a happy number.

The square root of 34641805861441 is 5885729.

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

It is not a de Polignac number, because 34641805861441 - 2²¹ = 34641803764289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34641805861141) 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, 606201516 + ... + 606258658.

Almost surely, 2^{34641805861441} is an apocalyptic number.

34641805861441 is the 5885729-th square number.

34641805861441 is the 2942865-th centered octagonal number.

It is an amenable number.

34641805861441 is a deficient number, since it is larger than the sum of its proper divisors (340205718368).

34641805861441 is an frugal number, since it uses more digits than its factorization.

34641805861441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114492 (or 57246 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 55.

The spelling of 34641805861441 in words is "thirty-four trillion, six hundred forty-one billion, eight hundred five million, eight hundred sixty-one thousand, four hundred forty-one".