438915602048 has 256 divisors, whose sum is σ = 1141236449280. Its totient is φ = 163150848000.

The previous prime is 438915602033. The next prime is 438915602077. The reversal of 438915602048 is 840206519834.

It is a junction number, because it is equal to n+sod(n) for n = 438915601987 and 438915602005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21682940 + ... + 21703172.

It is an arithmetic number, because the mean of its divisors is an integer number (4457954880).

Almost surely, 2^438915602048 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 438915602048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570618224640).

438915602048 is an abundant number, since it is smaller than the sum of its proper divisors (702320847232).

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

438915602048 is a wasteful number, since it uses less digits than its factorization.

438915602048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20367 (or 20355 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 50.

The spelling of 438915602048 in words is "four hundred thirty-eight billion, nine hundred fifteen million, six hundred two thousand, forty-eight".