438858412116 has 96 divisors (see below), whose sum is σ = 1093691289600. Its totient is φ = 136558477440.

The previous prime is 438858412103. The next prime is 438858412117. The reversal of 438858412116 is 611214858834.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438858412117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33486421 + ... + 33499523.

It is an arithmetic number, because the mean of its divisors is an integer number (11392617600).

Almost surely, 2^438858412116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438858412116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546845644800).

438858412116 is an abundant number, since it is smaller than the sum of its proper divisors (654832877484).

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

438858412116 is a wasteful number, since it uses less digits than its factorization.

438858412116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15269 (or 15267 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 51.

The spelling of 438858412116 in words is "four hundred thirty-eight billion, eight hundred fifty-eight million, four hundred twelve thousand, one hundred sixteen".