634414414436 has 96 divisors (see below), whose sum is σ = 1243475210880. Its totient is φ = 280806912000.

The previous prime is 634414414433. The next prime is 634414414471.

It is a happy number.

634414414436 is nontrivially palindromic in base 10.

634414414436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (634414414433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70259570 + ... + 70268598.

It is an arithmetic number, because the mean of its divisors is an integer number (12952866780).

Almost surely, 2^634414414436 is an apocalyptic number.

It is an amenable number.

634414414436 is a deficient number, since it is larger than the sum of its proper divisors (609060796444).

634414414436 is a wasteful number, since it uses less digits than its factorization.

634414414436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9405 (or 9403 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 44.

The spelling of 634414414436 in words is "six hundred thirty-four billion, four hundred fourteen million, four hundred fourteen thousand, four hundred thirty-six".