438505089165 has 192 divisors, whose sum is σ = 900535184640. Its totient is φ = 194596577280.

The previous prime is 438505089137. The next prime is 438505089181. The reversal of 438505089165 is 561980505834.

438505089165 is a `hidden beast` number, since 43 + 8 + 5 + 0 + 508 + 91 + 6 + 5 = 666.

It is not a de Polignac number, because 438505089165 - 2⁶ = 438505089101 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 496607814 + ... + 496608696.

It is an arithmetic number, because the mean of its divisors is an integer number (4690287420).

Almost surely, 2^438505089165 is an apocalyptic number.

438505089165 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

438505089165 is an abundant number, since it is smaller than the sum of its proper divisors (462030095475).

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

438505089165 is a wasteful number, since it uses less digits than its factorization.

438505089165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 438505089165 in words is "four hundred thirty-eight billion, five hundred five million, eighty-nine thousand, one hundred sixty-five".