16440859164672 has 432 divisors, whose sum is σ = 51217667111520. Its totient is φ = 5064936652800.

The previous prime is 16440859164671. The next prime is 16440859164673. The reversal of 16440859164672 is 27646195804461.

16440859164672 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 0 + 85 + 91 + 6 + 467 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (16440859164671) and next prime (16440859164673).

It is a super-3 number, since 3×16440859164672³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (16440859164671) 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 23 ways as a sum of consecutive naturals, for example, 918936847 + ... + 918954737.

It is an arithmetic number, because the mean of its divisors is an integer number (118559414610).

Almost surely, 2^{16440859164672} is an apocalyptic number.

16440859164672 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 16440859164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25608833555760).

16440859164672 is an abundant number, since it is smaller than the sum of its proper divisors (34776807946848).

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

16440859164672 is an equidigital number, since it uses as much as digits as its factorization.

16440859164672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17991 (or 17956 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 16440859164672 in words is "sixteen trillion, four hundred forty billion, eight hundred fifty-nine million, one hundred sixty-four thousand, six hundred seventy-two".