16127984016 has 135 divisors (see below), whose sum is σ = 47722239201. Its totient is φ = 5083903872.

The previous prime is 16127984011. The next prime is 16127984017. The reversal of 16127984016 is 61048972161.

The square root of 16127984016 is 126996.

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., 1415264400 + 14712719616 = 37620^2 + 121296^2 .

It is a super-2 number, since 2×16127984016² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16127984011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28954810 + ... + 28955366.

Almost surely, 2^16127984016 is an apocalyptic number.

16127984016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16127984016 is the 126996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16127984016

16127984016 is an abundant number, since it is smaller than the sum of its proper divisors (31594255185).

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

16127984016 is an equidigital number, since it uses as much as digits as its factorization.

16127984016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 16127984016 in words is "sixteen billion, one hundred twenty-seven million, nine hundred eighty-four thousand, sixteen".