84313575424 has 117 divisors (see below), whose sum is σ = 183098607903. Its totient is φ = 38802456576.

The previous prime is 84313575383. The next prime is 84313575427. The reversal of 84313575424 is 42457531348.

The square root of 84313575424 is 290368.

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 1811353600 + 82502221824 = 42560^2 + 287232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84313575427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 241586002 + ... + 241586350.

Almost surely, 2^84313575424 is an apocalyptic number.

84313575424 is the 290368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84313575424

84313575424 is an abundant number, since it is smaller than the sum of its proper divisors (98785032479).

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

84313575424 is an frugal number, since it uses more digits than its factorization.

84313575424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 364 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 46.

The spelling of 84313575424 in words is "eighty-four billion, three hundred thirteen million, five hundred seventy-five thousand, four hundred twenty-four".