634146641436 has 96 divisors (see below), whose sum is σ = 1846292152320. Its totient is φ = 164579313600.

The previous prime is 634146641431. The next prime is 634146641497.

634146641436 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634146641431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 858685 + ... + 1416203.

It is an arithmetic number, because the mean of its divisors is an integer number (19232209920).

Almost surely, 2^634146641436 is an apocalyptic number.

634146641436 is a gapful number since it is divisible by the number (66) 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 634146641436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923146076160).

634146641436 is an abundant number, since it is smaller than the sum of its proper divisors (1212145510884).

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

634146641436 is a wasteful number, since it uses less digits than its factorization.

634146641436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558775 (or 558773 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The spelling of 634146641436 in words is "six hundred thirty-four billion, one hundred forty-six million, six hundred forty-one thousand, four hundred thirty-six".