16443417106272 has 192 divisors, whose sum is σ = 47181023285760. Its totient is φ = 4983803596800.

The previous prime is 16443417106231. The next prime is 16443417106279. The reversal of 16443417106272 is 27260171434461.

It is a super-3 number, since 3×16443417106272³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16443417106279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99956247 + ... + 100120617.

It is an arithmetic number, because the mean of its divisors is an integer number (245734496280).

Almost surely, 2^{16443417106272} is an apocalyptic number.

16443417106272 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 16443417106272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23590511642880).

16443417106272 is an abundant number, since it is smaller than the sum of its proper divisors (30737606179488).

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

16443417106272 is a wasteful number, since it uses less digits than its factorization.

16443417106272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165597 (or 165589 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 16443417106272 in words is "sixteen trillion, four hundred forty-three billion, four hundred seventeen million, one hundred six thousand, two hundred seventy-two".