8285136048 has 240 divisors, whose sum is σ = 29535966720. Its totient is φ = 2110593024.

The previous prime is 8285136037. The next prime is 8285136059. The reversal of 8285136048 is 8406315828.

8285136048 is a `hidden beast` number, since 8 + 28 + 5 + 13 + 604 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (8285136037) and next prime (8285136059).

It is a junction number, because it is equal to n+sod(n) for n = 8285135994 and 8285136012.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 312861 + ... + 338307.

It is an arithmetic number, because the mean of its divisors is an integer number (123066528).

Almost surely, 2^8285136048 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 8285136048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14767983360).

8285136048 is an abundant number, since it is smaller than the sum of its proper divisors (21250830672).

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

8285136048 is a wasteful number, since it uses less digits than its factorization.

8285136048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25504 (or 25495 counting only the distinct ones).

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

The square root of 8285136048 is about 91022.7227015321. The cubic root of 8285136048 is about 2023.4844971788.

The spelling of 8285136048 in words is "eight billion, two hundred eighty-five million, one hundred thirty-six thousand, forty-eight".