16381838575872 has 864 divisors, whose sum is σ = 59972961484800. Its totient is φ = 4176893952000.

The previous prime is 16381838575867. The next prime is 16381838575919. The reversal of 16381838575872 is 27857583818361.

It is a happy number.

16381838575872 is a `hidden beast` number, since 1 + 6 + 3 + 8 + 1 + 8 + 38 + 5 + 7 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 16381838575872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6828610129 + ... + 6828612527.

Almost surely, 2^{16381838575872} is an apocalyptic number.

16381838575872 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 16381838575872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29986480742400).

16381838575872 is an abundant number, since it is smaller than the sum of its proper divisors (43591122908928).

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

16381838575872 is a wasteful number, since it uses less digits than its factorization.

16381838575872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3114 counting only the distinct ones).

The product of its digits is 541900800, while the sum is 72.

The spelling of 16381838575872 in words is "sixteen trillion, three hundred eighty-one billion, eight hundred thirty-eight million, five hundred seventy-five thousand, eight hundred seventy-two".