16387944659424 has 768 divisors, whose sum is σ = 55756171618560. Its totient is φ = 4637432217600.

The previous prime is 16387944659377. The next prime is 16387944659447. The reversal of 16387944659424 is 42495644978361.

16387944659424 is a `hidden beast` number, since 1 + 6 + 3 + 8 + 7 + 9 + 4 + 4 + 6 + 594 + 24 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2600845074 + ... + 2600851374.

It is an arithmetic number, because the mean of its divisors is an integer number (72599181795).

Almost surely, 2^{16387944659424} 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 16387944659424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27878085809280).

16387944659424 is an abundant number, since it is smaller than the sum of its proper divisors (39368226959136).

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

16387944659424 is a wasteful number, since it uses less digits than its factorization.

16387944659424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6660 (or 6646 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 16387944659424 in words is "sixteen trillion, three hundred eighty-seven billion, nine hundred forty-four million, six hundred fifty-nine thousand, four hundred twenty-four".