438512404875468 has 192 divisors, whose sum is σ = 1340070281625600. Its totient is φ = 108215991417600.

The previous prime is 438512404875443. The next prime is 438512404875499. The reversal of 438512404875468 is 864578404215834.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66074848 + ... + 72407943.

It is an arithmetic number, because the mean of its divisors is an integer number (6979532716800).

Almost surely, 2^{438512404875468} is an apocalyptic number.

It is an amenable number.

438512404875468 is an abundant number, since it is smaller than the sum of its proper divisors (901557876750132).

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

438512404875468 is a wasteful number, since it uses less digits than its factorization.

438512404875468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138482988 (or 138482986 counting only the distinct ones).

The product of its (nonzero) digits is 825753600, while the sum is 69.

The spelling of 438512404875468 in words is "four hundred thirty-eight trillion, five hundred twelve billion, four hundred four million, eight hundred seventy-five thousand, four hundred sixty-eight".