638134848 has 280 divisors, whose sum is σ = 2160846072. Its totient is φ = 184467456.

The previous prime is 638134837. The next prime is 638134853. The reversal of 638134848 is 848431836.

638134848 is a `hidden beast` number, since 638 + 1 + 3 + 4 + 8 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6718464 + 631416384 = 2592^2 + 25128^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1145386 + ... + 1145942.

Almost surely, 2^638134848 is an apocalyptic number.

638134848 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 638134848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080423036).

638134848 is an abundant number, since it is smaller than the sum of its proper divisors (1522711224).

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

638134848 is a wasteful number, since it uses less digits than its factorization.

638134848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 592 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 638134848 is about 25261.3310813187. The cubic root of 638134848 is about 860.9359055834.

The spelling of 638134848 in words is "six hundred thirty-eight million, one hundred thirty-four thousand, eight hundred forty-eight".