608442120729 has 9 divisors (see below), whose sum is σ = 878864221183. Its totient is φ = 405626520432.

The previous prime is 608442120721. The next prime is 608442120749. The reversal of 608442120729 is 927021244806.

The square root of 608442120729 is 780027.

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

608442120729 is a `hidden beast` number, since 60 + 8 + 442 + 120 + 7 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27432303129 + 581009817600 = 165627^2 + 762240^2 .

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

It is not a de Polignac number, because 608442120729 - 2³ = 608442120721 is a prime.

It is a super-2 number, since 2×608442120729² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (608442120721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2210077 + ... + 2470085.

Almost surely, 2^608442120729 is an apocalyptic number.

608442120729 is the 780027-th square number.

608442120729 is the 390014-th centered octagonal number.

It is an amenable number.

608442120729 is a deficient number, since it is larger than the sum of its proper divisors (270422100454).

608442120729 is an frugal number, since it uses more digits than its factorization.

608442120729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520024 (or 260012 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 608442120729 in words is "six hundred eight billion, four hundred forty-two million, one hundred twenty thousand, seven hundred twenty-nine".