84238096644 has 135 divisors (see below), whose sum is σ = 234417703065. Its totient is φ = 25494505920.

The previous prime is 84238096603. The next prime is 84238096693. The reversal of 84238096644 is 44669083248.

The square root of 84238096644 is 290238.

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

It can be written as a sum of positive squares in 7 ways, for example, as 39764348100 + 44473748544 = 199410^2 + 210888^2 .

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 44 ways as a sum of consecutive naturals, for example, 1380952374 + ... + 1380952434.

Almost surely, 2^84238096644 is an apocalyptic number.

84238096644 is the 290238-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84238096644

84238096644 is an abundant number, since it is smaller than the sum of its proper divisors (150179606421).

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

84238096644 is an frugal number, since it uses more digits than its factorization.

84238096644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 84238096644 in words is "eighty-four billion, two hundred thirty-eight million, ninety-six thousand, six hundred forty-four".