8152386048 has 160 divisors (see below), whose sum is σ = 24241662720. Its totient is φ = 2705080320.

The previous prime is 8152386043. The next prime is 8152386079. The reversal of 8152386048 is 8406832518.

8152386048 is a `hidden beast` number, since 8 + 1 + 5 + 2 + 38 + 604 + 8 = 666.

It is a super-2 number, since 2×8152386048² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8152385994 and 8152386012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8152386043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3330361 + ... + 3332807.

It is an arithmetic number, because the mean of its divisors is an integer number (151510392).

Almost surely, 2^8152386048 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 8152386048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12120831360).

8152386048 is an abundant number, since it is smaller than the sum of its proper divisors (16089276672).

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

8152386048 is a wasteful number, since it uses less digits than its factorization.

8152386048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 8152386048 is about 90290.5645568794. The cubic root of 8152386048 is about 2012.6190496708.

The spelling of 8152386048 in words is "eight billion, one hundred fifty-two million, three hundred eighty-six thousand, forty-eight".