65167367841 has 9 divisors (see below), whose sum is σ = 94131748659. Its totient is φ = 43444401336.

The previous prime is 65167367833. The next prime is 65167367849. The reversal of 65167367841 is 14876376156.

The square root of 65167367841 is 255279.

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

65167367841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (65167367833) and next prime (65167367849).

It can be written as a sum of positive squares in only one way, i.e., 19885230225 + 45282137616 = 141015^2 + 212796^2 .

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

It is not a de Polignac number, because 65167367841 - 2³ = 65167367833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (65167367849) 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, 723291 + ... + 808383.

Almost surely, 2^65167367841 is an apocalyptic number.

65167367841 is the 255279-th square number.

65167367841 is the 127640-th centered octagonal number.

It is an amenable number.

65167367841 is a deficient number, since it is larger than the sum of its proper divisors (28964380818).

65167367841 is an frugal number, since it uses more digits than its factorization.

65167367841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170192 (or 85096 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 65167367841 in words is "sixty-five billion, one hundred sixty-seven million, three hundred sixty-seven thousand, eight hundred forty-one".