85581406849 has 27 divisors (see below), whose sum is σ = 91880105673. Its totient is φ = 79702755264.

The previous prime is 85581406843. The next prime is 85581406873. The reversal of 85581406849 is 94860418558.

It is a happy number.

The square root of 85581406849 is 292543.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1868400625 + 83713006224 = 43225^2 + 289332^2 .

It is not a de Polignac number, because 85581406849 - 2¹⁷ = 85581275777 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85581406793 and 85581406802.

It is not an unprimeable number, because it can be changed into a prime (85581406843) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 494690127 + ... + 494690299.

Almost surely, 2^85581406849 is an apocalyptic number.

85581406849 is a gapful number since it is divisible by the number (89) formed by its first and last digit.

85581406849 is the 292543-rd square number.

85581406849 is the 146272-nd centered octagonal number.

It is an amenable number.

85581406849 is a deficient number, since it is larger than the sum of its proper divisors (6298698824).

85581406849 is an frugal number, since it uses more digits than its factorization.

85581406849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 58.

The spelling of 85581406849 in words is "eighty-five billion, five hundred eighty-one million, four hundred six thousand, eight hundred forty-nine".