838485584838 has 96 divisors (see below), whose sum is σ = 2035036673280. Its totient is φ = 247354585920.

The previous prime is 838485584801. The next prime is 838485584851.

838485584838 is a `hidden beast` number, since 8 + 3 + 8 + 4 + 8 + 5 + 584 + 8 + 38 = 666.

838485584838 is nontrivially palindromic in base 10.

838485584838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×838485584838² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 854820 + ... + 1551672.

It is an arithmetic number, because the mean of its divisors is an integer number (21198298680).

Almost surely, 2^838485584838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838485584838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017518336640).

838485584838 is an abundant number, since it is smaller than the sum of its proper divisors (1196551088442).

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

838485584838 is a wasteful number, since it uses less digits than its factorization.

838485584838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697034 (or 697031 counting only the distinct ones).

The product of its digits is 943718400, while the sum is 72.

The spelling of 838485584838 in words is "eight hundred thirty-eight billion, four hundred eighty-five million, five hundred eighty-four thousand, eight hundred thirty-eight".