10146646341 has 24 divisors (see below), whose sum is σ = 15787193240. Its totient is φ = 6242697216.

The previous prime is 10146646337. The next prime is 10146646357. The reversal of 10146646341 is 14364664101.

10146646341 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 6 + 646 + 3 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4647830625 + 5498815716 = 68175^2 + 74154^2 .

It is not a de Polignac number, because 10146646341 - 2² = 10146646337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10146646296 and 10146646305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10146646381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 819525 + ... + 831813.

Almost surely, 2^10146646341 is an apocalyptic number.

It is an amenable number.

10146646341 is a deficient number, since it is larger than the sum of its proper divisors (5640546899).

10146646341 is a wasteful number, since it uses less digits than its factorization.

10146646341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19365 (or 19362 counting only the distinct ones).

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

The spelling of 10146646341 in words is "ten billion, one hundred forty-six million, six hundred forty-six thousand, three hundred forty-one".