438065993664 has 280 divisors, whose sum is σ = 1430986104240. Its totient is φ = 131654025216.

The previous prime is 438065993653. The next prime is 438065993669. The reversal of 438065993664 is 466399560834.

It is a happy number.

438065993664 is a `hidden beast` number, since 4 + 3 + 8 + 0 + 6 + 599 + 36 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438065993669) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2822272 + ... + 2973440.

It is an arithmetic number, because the mean of its divisors is an integer number (5110664658).

Almost surely, 2^438065993664 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 438065993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715493052120).

438065993664 is an abundant number, since it is smaller than the sum of its proper divisors (992920110576).

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

438065993664 is a wasteful number, since it uses less digits than its factorization.

438065993664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151249 (or 151230 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 438065993664 in words is "four hundred thirty-eight billion, sixty-five million, nine hundred ninety-three thousand, six hundred sixty-four".