84831960564 has 108 divisors (see below), whose sum is σ = 231974075788. Its totient is φ = 25984558080.

The previous prime is 84831960539. The next prime is 84831960581. The reversal of 84831960564 is 46506913848.

84831960564 is a `hidden beast` number, since 8 + 4 + 8 + 3 + 19 + 60 + 564 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 77958224100 + 6873736464 = 279210^2 + 82908^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 84831960564.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 111473944 + ... + 111474704.

Almost surely, 2^84831960564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84831960564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115987037894).

84831960564 is an abundant number, since it is smaller than the sum of its proper divisors (147142115224).

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

84831960564 is a wasteful number, since it uses less digits than its factorization.

84831960564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 84831960564 in words is "eighty-four billion, eight hundred thirty-one million, nine hundred sixty thousand, five hundred sixty-four".