85431584646 has 48 divisors (see below), whose sum is σ = 185934949200. Its totient is φ = 28349181504.

The previous prime is 85431584599. The next prime is 85431584659. The reversal of 85431584646 is 64648513458.

85431584646 is a `hidden beast` number, since 8 + 54 + 3 + 1 + 584 + 6 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85431584592 and 85431584601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6913045 + ... + 6925391.

It is an arithmetic number, because the mean of its divisors is an integer number (3873644775).

Almost surely, 2^85431584646 is an apocalyptic number.

85431584646 is an abundant number, since it is smaller than the sum of its proper divisors (100503364554).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85431584646 is a wasteful number, since it uses less digits than its factorization.

85431584646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14053 (or 14050 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

It can be divided in two parts, 854315 and 84646, that added together give a square (938961 = 969²).

The spelling of 85431584646 in words is "eighty-five billion, four hundred thirty-one million, five hundred eighty-four thousand, six hundred forty-six".