16127966849296 has 45 divisors (see below), whose sum is σ = 31315276584741. Its totient is φ = 8046642492096.

The previous prime is 16127966849279. The next prime is 16127966849327. The reversal of 16127966849296 is 69294866972161.

The square root of 16127966849296 is 4015964.

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., 16032816810000 + 95150039296 = 4004100^2 + 308464^2 .

It is a super-2 number, since 2×16127966849296² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10875229771 + ... + 10875231253.

Almost surely, 2^{16127966849296} is an apocalyptic number.

16127966849296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16127966849296 is the 4015964-th square number.

It is an amenable number.

16127966849296 is a deficient number, since it is larger than the sum of its proper divisors (15187309735445).

16127966849296 is an frugal number, since it uses more digits than its factorization.

16127966849296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4328 (or 2162 counting only the distinct ones).

The product of its digits is 846526464, while the sum is 76.

The spelling of 16127966849296 in words is "sixteen trillion, one hundred twenty-seven billion, nine hundred sixty-six million, eight hundred forty-nine thousand, two hundred ninety-six".