16306416441 has 72 divisors (see below), whose sum is σ = 28137773664. Its totient is φ = 9068371200.

The previous prime is 16306416419. The next prime is 16306416449. The reversal of 16306416441 is 14461460361.

16306416441 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 6 + 4 + 1 + 644 + 1 = 666.

It is not a de Polignac number, because 16306416441 - 2¹⁰ = 16306415417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16306416396 and 16306416405.

It is not an unprimeable number, because it can be changed into a prime (16306416449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5820241 + ... + 5823041.

It is an arithmetic number, because the mean of its divisors is an integer number (390802412).

Almost surely, 2^16306416441 is an apocalyptic number.

It is an amenable number.

16306416441 is a deficient number, since it is larger than the sum of its proper divisors (11831357223).

16306416441 is a wasteful number, since it uses less digits than its factorization.

16306416441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 16306416441 in words is "sixteen billion, three hundred six million, four hundred sixteen thousand, four hundred forty-one".