438309545903834 has 64 divisors (see below), whose sum is σ = 748571940662400. Its totient is φ = 192239677808640.

The previous prime is 438309545903813. The next prime is 438309545903891.

438309545903834 is nontrivially palindromic in base 10.

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, 120097754 + ... + 123693530.

It is an arithmetic number, because the mean of its divisors is an integer number (11696436572850).

Almost surely, 2^{438309545903834} is an apocalyptic number.

438309545903834 is a deficient number, since it is larger than the sum of its proper divisors (310262394758566).

438309545903834 is a wasteful number, since it uses less digits than its factorization.

438309545903834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3597420 (or 3597398 counting only the distinct ones).

The product of its (nonzero) digits is 671846400, while the sum is 68.

The spelling of 438309545903834 in words is "four hundred thirty-eight trillion, three hundred nine billion, five hundred forty-five million, nine hundred three thousand, eight hundred thirty-four".