8017738848 has 144 divisors (see below), whose sum is σ = 26447016960. Its totient is φ = 2256553728.

The previous prime is 8017738819. The next prime is 8017738867. The reversal of 8017738848 is 8488377108.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 8017738794 and 8017738803.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 105393 + ... + 164751.

It is an arithmetic number, because the mean of its divisors is an integer number (183659840).

Almost surely, 2^8017738848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8017738848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13223508480).

8017738848 is an abundant number, since it is smaller than the sum of its proper divisors (18429278112).

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

8017738848 is a wasteful number, since it uses less digits than its factorization.

8017738848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59449 (or 59438 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The square root of 8017738848 is about 89541.8273657624. The cubic root of 8017738848 is about 2001.4771460845.

It can be divided in two parts, 80177 and 38848, that added together give a square (119025 = 345²).

The spelling of 8017738848 in words is "eight billion, seventeen million, seven hundred thirty-eight thousand, eight hundred forty-eight".