438808456485084 has 192 divisors, whose sum is σ = 1199614780707840. Its totient is φ = 122222257274880.

The previous prime is 438808456485071. The next prime is 438808456485137. The reversal of 438808456485084 is 480584654808834.

It is a super-2 number, since 2×438808456485084² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 438808456484997 and 438808456485015.

It is a congruent number.

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, 37643337784 + ... + 37643349440.

It is an arithmetic number, because the mean of its divisors is an integer number (6247993649520).

Almost surely, 2^{438808456485084} 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 438808456485084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599807390353920).

438808456485084 is an abundant number, since it is smaller than the sum of its proper divisors (760806324222756).

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

438808456485084 is a wasteful number, since it uses less digits than its factorization.

438808456485084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19148 (or 19146 counting only the distinct ones).

The product of its (nonzero) digits is 3774873600, while the sum is 75.

The spelling of 438808456485084 in words is "four hundred thirty-eight trillion, eight hundred eight billion, four hundred fifty-six million, four hundred eighty-five thousand, eighty-four".