16438531741632 has 1344 divisors, whose sum is σ = 66379159461888. Its totient is φ = 3751391232000.

The previous prime is 16438531741561. The next prime is 16438531741633. The reversal of 16438531741632 is 23614713583461.

16438531741632 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 8 + 531 + 7 + 41 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16438531741633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1090297678 + ... + 1090312754.

It is an arithmetic number, because the mean of its divisors is an integer number (49389255552).

Almost surely, 2^{16438531741632} is an apocalyptic number.

16438531741632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16438531741632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33189579730944).

16438531741632 is an abundant number, since it is smaller than the sum of its proper divisors (49940627720256).

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

16438531741632 is a wasteful number, since it uses less digits than its factorization.

16438531741632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15218 (or 15205 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 16438531741632 in words is "sixteen trillion, four hundred thirty-eight billion, five hundred thirty-one million, seven hundred forty-one thousand, six hundred thirty-two".