538126848 has 320 divisors, whose sum is σ = 1869880320. Its totient is φ = 149630976.

The previous prime is 538126817. The next prime is 538126859. The reversal of 538126848 is 848621835.

538126848 is a `hidden beast` number, since 5 + 381 + 268 + 4 + 8 = 666.

It is a super-3 number, since 3×538126848³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6483415 + ... + 6483497.

It is an arithmetic number, because the mean of its divisors is an integer number (5843376).

Almost surely, 2^538126848 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 538126848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934940160).

538126848 is an abundant number, since it is smaller than the sum of its proper divisors (1331753472).

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

538126848 is an equidigital number, since it uses as much as digits as its factorization.

538126848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 162 counting only the distinct ones).

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

The square root of 538126848 is about 23197.5612511316. The cubic root of 538126848 is about 813.3826169784.

The spelling of 538126848 in words is "five hundred thirty-eight million, one hundred twenty-six thousand, eight hundred forty-eight".