84191664964 has 63 divisors (see below), whose sum is σ = 163569458829. Its totient is φ = 37917847440.

The previous prime is 84191664961. The next prime is 84191664983. The reversal of 84191664964 is 46946619148.

The square root of 84191664964 is 290158.

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., 58681186564 + 25510478400 = 242242^2 + 159720^2 .

It is a Duffinian number.

Its product of digits (8957952) is a multiple of the sum of its prime factors (288).

It is a junction number, because it is equal to n+sod(n) for n = 84191664899 and 84191664908.

It is not an unprimeable number, because it can be changed into a prime (84191664961) by changing a digit.

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 20 ways as a sum of consecutive naturals, for example, 772400542 + ... + 772400650.

Almost surely, 2^84191664964 is an apocalyptic number.

84191664964 is the 290158-th square number.

It is an amenable number.

84191664964 is a deficient number, since it is larger than the sum of its proper divisors (79377793865).

84191664964 is an frugal number, since it uses more digits than its factorization.

84191664964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 122 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 58.

The spelling of 84191664964 in words is "eighty-four billion, one hundred ninety-one million, six hundred sixty-four thousand, nine hundred sixty-four".