16387944749568 has 1680 divisors, whose sum is σ = 61040735389920. Its totient is φ = 4215576379392.

The previous prime is 16387944749513. The next prime is 16387944749569. The reversal of 16387944749568 is 86594744978361.

16387944749568 is a `hidden beast` number, since 1 + 6 + 3 + 8 + 7 + 9 + 4 + 4 + 7 + 49 + 568 = 666.

It is a super-2 number, since 2×16387944749568² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16387944749569) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 381114994155 + ... + 381114994197.

Almost surely, 2^{16387944749568} is an apocalyptic number.

16387944749568 is a gapful number since it is divisible by the number (18) 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 16387944749568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30520367694960).

16387944749568 is an abundant number, since it is smaller than the sum of its proper divisors (44652790640352).

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

16387944749568 is an frugal number, since it uses more digits than its factorization.

16387944749568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 111 counting only the distinct ones).

The product of its digits is 8778792960, while the sum is 81.

The spelling of 16387944749568 in words is "sixteen trillion, three hundred eighty-seven billion, nine hundred forty-four million, seven hundred forty-nine thousand, five hundred sixty-eight".