1065067344441 has 99 divisors (see below), whose sum is σ = 1662927163023. Its totient is φ = 682124600160.

The previous prime is 1065067344433. The next prime is 1065067344449. The reversal of 1065067344441 is 1444437605601.

The square root of 1065067344441 is 1032021.

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

1065067344441 is a `hidden beast` number, since 106 + 5 + 0 + 67 + 3 + 44 + 441 = 666.

It is an interprime number because it is at equal distance from previous prime (1065067344433) and next prime (1065067344449).

It can be written as a sum of positive squares in only one way, i.e., 625625631225 + 439441713216 = 790965^2 + 662904^2 .

It is not a de Polignac number, because 1065067344441 - 2³ = 1065067344433 is a prime.

It is a super-2 number, since 2×1065067344441² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1065067344449) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 7774214125 + ... + 7774214261.

Almost surely, 2^{1065067344441} is an apocalyptic number.

1065067344441 is the 1032021-st square number.

1065067344441 is the 516011-st centered octagonal number.

It is an amenable number.

1065067344441 is a deficient number, since it is larger than the sum of its proper divisors (597859818582).

1065067344441 is an frugal number, since it uses more digits than its factorization.

1065067344441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 1065067344441 in words is "one trillion, sixty-five billion, sixty-seven million, three hundred forty-four thousand, four hundred forty-one".