438342085544814 has 192 divisors, whose sum is σ = 1111252701312000. Its totient is φ = 123458471136000.

The previous prime is 438342085544789. The next prime is 438342085544827. The reversal of 438342085544814 is 418445580243834.

438342085544814 is a `hidden beast` number, since 4 + 3 + 8 + 3 + 4 + 2 + 0 + 8 + 5 + 544 + 81 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4216762539 + ... + 4216866489.

It is an arithmetic number, because the mean of its divisors is an integer number (5787774486000).

Almost surely, 2^{438342085544814} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438342085544814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555626350656000).

438342085544814 is an abundant number, since it is smaller than the sum of its proper divisors (672910615767186).

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

438342085544814 is a wasteful number, since it uses less digits than its factorization.

438342085544814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125191 (or 125188 counting only the distinct ones).

The product of its (nonzero) digits is 235929600, while the sum is 63.

The spelling of 438342085544814 in words is "four hundred thirty-eight trillion, three hundred forty-two billion, eighty-five million, five hundred forty-four thousand, eight hundred fourteen".