16434137641216 has 27 divisors (see below), whose sum is σ = 32804208904341. Its totient is φ = 8217036389376.

The previous prime is 16434137641183. The next prime is 16434137641223. The reversal of 16434137641216 is 61214673143461.

The square root of 16434137641216 is 4053904.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 881525698816 + 15552611942400 = 938896^2 + 3943680^2 .

It is a super-3 number, since 3×16434137641216³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 16434137641216.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 64735780 + ... + 64989148.

Almost surely, 2^{16434137641216} is an apocalyptic number.

16434137641216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16434137641216 is the 4053904-th square number.

It is an amenable number.

16434137641216 is a deficient number, since it is larger than the sum of its proper divisors (16370071263125).

16434137641216 is an frugal number, since it uses more digits than its factorization.

16434137641216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506754 (or 253371 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 49.

Multiplying 16434137641216 by its sum of digits (49), we get a square (805272744419584 = 28377328²).

The spelling of 16434137641216 in words is "sixteen trillion, four hundred thirty-four billion, one hundred thirty-seven million, six hundred forty-one thousand, two hundred sixteen".