8141091984 has 135 divisors (see below), whose sum is σ = 23326582617. Its totient is φ = 2650537728.

The previous prime is 8141091943. The next prime is 8141092027. The reversal of 8141091984 is 4891901418.

The square root of 8141091984 is 90228.

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., 4621280400 + 3519811584 = 67980^2 + 59328^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79039677 + ... + 79039779.

Almost surely, 2^8141091984 is an apocalyptic number.

8141091984 is the 90228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8141091984

8141091984 is an abundant number, since it is smaller than the sum of its proper divisors (15185490633).

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

8141091984 is a wasteful number, since it uses less digits than its factorization.

8141091984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The cubic root of 8141091984 is about 2011.6892133797.

Multiplying 8141091984 by its product of nonzero digits (82944), we get a square (675254733520896 = 25985664²).

The spelling of 8141091984 in words is "eight billion, one hundred forty-one million, ninety-one thousand, nine hundred eighty-four".