16988254921 has 45 divisors (see below), whose sum is σ = 20335798819. Its totient is φ = 14180883200.

The previous prime is 16988254909. The next prime is 16988254981. The reversal of 16988254921 is 12945288961.

The square root of 16988254921 is 130339.

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

16988254921 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 8039094921 + 8949160000 = 89661^2 + 94600^2 .

It is not a de Polignac number, because 16988254921 - 2¹⁹ = 16987730633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16988254981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 414347661 + ... + 414347701.

Almost surely, 2^16988254921 is an apocalyptic number.

16988254921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

16988254921 is the 130339-th square number.

16988254921 is the 65170-th centered octagonal number.

It is an amenable number.

16988254921 is a deficient number, since it is larger than the sum of its proper divisors (3347543898).

16988254921 is an frugal number, since it uses more digits than its factorization.

16988254921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 69 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 55.

The spelling of 16988254921 in words is "sixteen billion, nine hundred eighty-eight million, two hundred fifty-four thousand, nine hundred twenty-one".