8132012448048 has 200 divisors, whose sum is σ = 23723619612000. Its totient is φ = 2689154297856.

The previous prime is 8132012448047. The next prime is 8132012448137. The reversal of 8132012448048 is 8408442102318.

8132012448048 is a `hidden beast` number, since 8 + 1 + 3 + 2 + 0 + 124 + 480 + 48 = 666.

It is a super-2 number, since 2×8132012448048² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8132012447994 and 8132012448012.

It is not an unprimeable number, because it can be changed into a prime (8132012448041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 158899008 + ... + 158950176.

It is an arithmetic number, because the mean of its divisors is an integer number (118618098060).

Almost surely, 2^{8132012448048} 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 8132012448048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11861809806000).

8132012448048 is an abundant number, since it is smaller than the sum of its proper divisors (15591607163952).

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

8132012448048 is a wasteful number, since it uses less digits than its factorization.

8132012448048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52161 (or 52146 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 8132012448048 in words is "eight trillion, one hundred thirty-two billion, twelve million, four hundred forty-eight thousand, forty-eight".