16838976001 has 2 divisors, whose sum is σ = 16838976002. Its totient is φ = 16838976000.

The previous prime is 16838975917. The next prime is 16838976013. The reversal of 16838976001 is 10067983861.

16838976001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11837657601 + 5001318400 = 108801^2 + 70720^2 .

It is a cyclic number.

It is not a de Polignac number, because 16838976001 - 2¹⁹ = 16838451713 is a prime.

It is a super-2 number, since 2×16838976001² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (16838976041) 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 as a sum of consecutive naturals, namely, 8419488000 + 8419488001.

It is an arithmetic number, because the mean of its divisors is an integer number (8419488001).

Almost surely, 2^16838976001 is an apocalyptic number.

It is an amenable number.

16838976001 is a deficient number, since it is larger than the sum of its proper divisors (1).

16838976001 is an equidigital number, since it uses as much as digits as its factorization.

16838976001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 435456, while the sum is 49.

The spelling of 16838976001 in words is "sixteen billion, eight hundred thirty-eight million, nine hundred seventy-six thousand, one".