16414441461 has 36 divisors (see below), whose sum is σ = 26765549356. Its totient is φ = 9679253760.

The previous prime is 16414441423. The next prime is 16414441489.

16414441461 is a `hidden beast` number, since 1 + 641 + 4 + 4 + 4 + 1 + 4 + 6 + 1 = 666.

16414441461 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 14827932900 + 1586508561 = 121770^2 + 39831^2 .

It is not a de Polignac number, because 16414441461 - 2⁶ = 16414441397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16414441361) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 163396 + ... + 243981.

Almost surely, 2^16414441461 is an apocalyptic number.

16414441461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16414441461 is a deficient number, since it is larger than the sum of its proper divisors (10351107895).

16414441461 is a wasteful number, since it uses less digits than its factorization.

16414441461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407442 (or 407428 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 16414441461 in words is "sixteen billion, four hundred fourteen million, four hundred forty-one thousand, four hundred sixty-one".