8121186048 has 72 divisors (see below), whose sum is σ = 21636050688. Its totient is φ = 2704325632.

The previous prime is 8121186041. The next prime is 8121186089. The reversal of 8121186048 is 8406811218.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8121185997 and 8121186015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8121186041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 842311 + ... + 851897.

It is an arithmetic number, because the mean of its divisors is an integer number (300500704).

Almost surely, 2^8121186048 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 8121186048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10818025344).

8121186048 is an abundant number, since it is smaller than the sum of its proper divisors (13514864640).

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

8121186048 is a wasteful number, since it uses less digits than its factorization.

8121186048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10709 (or 10695 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The square root of 8121186048 is about 90117.6234040823. The cubic root of 8121186048 is about 2010.0482689332.

The spelling of 8121186048 in words is "eight billion, one hundred twenty-one million, one hundred eighty-six thousand, forty-eight".