84159750609 has 81 divisors (see below), whose sum is σ = 136841516539. Its totient is φ = 49804883040.

The previous prime is 84159750607. The next prime is 84159750611. The reversal of 84159750609 is 90605795148.

The square root of 84159750609 is 290103.

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

84159750609 is a `hidden beast` number, since 8 + 41 + 5 + 97 + 506 + 0 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (84159750607) and next prime (84159750611).

It can be written as a sum of positive squares in only one way, i.e., 9859894209 + 74299856400 = 99297^2 + 272580^2 .

It is not a de Polignac number, because 84159750609 - 2¹ = 84159750607 is a prime.

It is a super-3 number, since 3×84159750609³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84159750607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 564830467 + ... + 564830615.

Almost surely, 2^84159750609 is an apocalyptic number.

84159750609 is the 290103-rd square number.

84159750609 is the 145052-nd centered octagonal number.

It is an amenable number.

84159750609 is a deficient number, since it is larger than the sum of its proper divisors (52681765930).

84159750609 is a wasteful number, since it uses less digits than its factorization.

84159750609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 84159750609 in words is "eighty-four billion, one hundred fifty-nine million, seven hundred fifty thousand, six hundred nine".