634416614436 has 36 divisors (see below), whose sum is σ = 1627112587856. Its totient is φ = 192247458480.

The previous prime is 634416614417. The next prime is 634416614437.

634416614436 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (634416614437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 218461570 + ... + 218464473.

Almost surely, 2^634416614436 is an apocalyptic number.

634416614436 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

634416614436 is an abundant number, since it is smaller than the sum of its proper divisors (992695973420).

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

634416614436 is a wasteful number, since it uses less digits than its factorization.

634416614436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436926072 (or 436926059 counting only the distinct ones).

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

The spelling of 634416614436 in words is "six hundred thirty-four billion, four hundred sixteen million, six hundred fourteen thousand, four hundred thirty-six".