85417076644 has 27 divisors (see below), whose sum is σ = 154842832417. Its totient is φ = 41227646768.

The previous prime is 85417076611. The next prime is 85417076651. The reversal of 85417076644 is 44667071458.

The square root of 85417076644 is 292262.

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., 44790643044 + 40626433600 = 211638^2 + 201560^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85417076591 and 85417076600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16948677 + ... + 16953715.

Almost surely, 2^85417076644 is an apocalyptic number.

85417076644 is the 292262-nd square number.

It is an amenable number.

85417076644 is a deficient number, since it is larger than the sum of its proper divisors (69425755773).

85417076644 is an frugal number, since it uses more digits than its factorization.

85417076644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10140 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 52.

The spelling of 85417076644 in words is "eighty-five billion, four hundred seventeen million, seventy-six thousand, six hundred forty-four".