634281046038 has 112 divisors (see below), whose sum is σ = 1466212667136. Its totient is φ = 205547207040.

The previous prime is 634281046037. The next prime is 634281046099. The reversal of 634281046038 is 830640182436.

634281046038 is a `hidden beast` number, since 6 + 3 + 4 + 28 + 10 + 4 + 603 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 634281045984 and 634281046002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634281046033) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 79350570 + ... + 79358562.

It is an arithmetic number, because the mean of its divisors is an integer number (13091184528).

Almost surely, 2^634281046038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634281046038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733106333568).

634281046038 is an abundant number, since it is smaller than the sum of its proper divisors (831931621098).

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

634281046038 is a wasteful number, since it uses less digits than its factorization.

634281046038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9521 (or 9506 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 634281046038 in words is "six hundred thirty-four billion, two hundred eighty-one million, forty-six thousand, thirty-eight".