8049140088 has 128 divisors (see below), whose sum is σ = 23148288000. Its totient is φ = 2306689920.

The previous prime is 8049140083. The next prime is 8049140101. The reversal of 8049140088 is 8800419408.

It is a Cunningham number, because it is equal to 89717²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8049140083) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3946573 + ... + 3948611.

It is an arithmetic number, because the mean of its divisors is an integer number (180846000).

Almost surely, 2^8049140088 is an apocalyptic number.

8049140088 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8049140088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11574144000).

8049140088 is an abundant number, since it is smaller than the sum of its proper divisors (15099147912).

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

8049140088 is a wasteful number, since it uses less digits than its factorization.

8049140088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 8049140088 is about 89716.9999944269. Note that the first 5 decimals coincide. The cubic root of 8049140088 is about 2004.0866512865.

The spelling of 8049140088 in words is "eight billion, forty-nine million, one hundred forty thousand, eighty-eight".