85160663329 has 27 divisors (see below), whose sum is σ = 101331285393. Its totient is φ = 71361229128.

The previous prime is 85160663327. The next prime is 85160663369. The reversal of 85160663329 is 92336606158.

It is a happy number.

The square root of 85160663329 is 291823.

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

It is not a de Polignac number, because 85160663329 - 2¹ = 85160663327 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85160663323) 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 26 ways as a sum of consecutive naturals, for example, 96009324 + ... + 96010210.

Almost surely, 2^85160663329 is an apocalyptic number.

85160663329 is the 291823-rd square number.

85160663329 is the 145912-nd centered octagonal number.

It is an amenable number.

85160663329 is a deficient number, since it is larger than the sum of its proper divisors (16170622064).

85160663329 is an frugal number, since it uses more digits than its factorization.

85160663329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

Multiplying 85160663329 by its sum of digits (49), we get a square (4172872503121 = 2042761²).

85160663329 divided by its sum of digits (49) gives a square (1737972721 = 41689²).

The spelling of 85160663329 in words is "eighty-five billion, one hundred sixty million, six hundred sixty-three thousand, three hundred twenty-nine".