438069927833216 has 128 divisors (see below), whose sum is σ = 1021742447362560. Its totient is φ = 183160738897920.

The previous prime is 438069927833177. The next prime is 438069927833243. The reversal of 438069927833216 is 612338729960834.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 438069927833216.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1864859066 + ... + 1865093958.

It is an arithmetic number, because the mean of its divisors is an integer number (7982362870020).

Almost surely, 2^{438069927833216} 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 438069927833216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510871223681280).

438069927833216 is an abundant number, since it is smaller than the sum of its proper divisors (583672519529344).

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

438069927833216 is a wasteful number, since it uses less digits than its factorization.

438069927833216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285722 (or 285710 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 71.

The spelling of 438069927833216 in words is "four hundred thirty-eight trillion, sixty-nine billion, nine hundred twenty-seven million, eight hundred thirty-three thousand, two hundred sixteen".