16161171849216 has 675 divisors, whose sum is σ = 51037984152701. Its totient is φ = 4927544229888.

The previous prime is 16161171849203. The next prime is 16161171849223. The reversal of 16161171849216 is 61294817116161.

The square root of 16161171849216 is 4020096.

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

16161171849216 is a `hidden beast` number, since 1 + 6 + 1 + 611 + 7 + 1 + 8 + 4 + 9 + 2 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8474526498816 + 7686645350400 = 2911104^2 + 2772480^2 .

It is a super-2 number, since 2×16161171849216² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (870912) is a multiple of the sum of its prime factors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 557281787890 + ... + 557281787918.

Almost surely, 2^{16161171849216} is an apocalyptic number.

16161171849216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16161171849216 is the 4020096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16161171849216

16161171849216 is an abundant number, since it is smaller than the sum of its proper divisors (34876812303485).

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

16161171849216 is an frugal number, since it uses more digits than its factorization.

16161171849216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 53 counting only the distinct ones).

The product of its digits is 870912, while the sum is 54.

The spelling of 16161171849216 in words is "sixteen trillion, one hundred sixty-one billion, one hundred seventy-one million, eight hundred forty-nine thousand, two hundred sixteen".