85338184129 has 9 divisors (see below), whose sum is σ = 93805007331. Its totient is φ = 77577246120.

The previous prime is 85338184081. The next prime is 85338184171. The reversal of 85338184129 is 92148183358.

It is a happy number.

The square root of 85338184129 is 292127.

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

It can be written as a sum of positive squares in only one way, i.e., 38531727025 + 46806457104 = 196295^2 + 216348^2 .

It is not a de Polignac number, because 85338184129 - 2²³ = 85329795521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85338184229) 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, 3200119 + ... + 3226675.

Almost surely, 2^85338184129 is an apocalyptic number.

85338184129 is the 292127-th square number.

85338184129 is the 146064-th centered octagonal number.

It is an amenable number.

85338184129 is a deficient number, since it is larger than the sum of its proper divisors (8466823202).

85338184129 is an frugal number, since it uses more digits than its factorization.

85338184129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53136 (or 26568 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 52.

The spelling of 85338184129 in words is "eighty-five billion, three hundred thirty-eight million, one hundred eighty-four thousand, one hundred twenty-nine".