3461212121643 has 24 divisors (see below), whose sum is σ = 5050295600480. Its totient is φ = 2284063608960.

The previous prime is 3461212121603. The next prime is 3461212121651.

3461212121643 is a `hidden beast` number, since 3 + 4 + 6 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 643 = 666.

3461212121643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3461212121643 - 2²¹ = 3461210024491 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3461212121598 and 3461212121607.

It is not an unprimeable number, because it can be changed into a prime (3461212121603) 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 23 ways as a sum of consecutive naturals, for example, 1280583 + ... + 2926143.

Almost surely, 2^{3461212121643} is an apocalyptic number.

3461212121643 is a deficient number, since it is larger than the sum of its proper divisors (1589083478837).

3461212121643 is a wasteful number, since it uses less digits than its factorization.

3461212121643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647939 (or 1647936 counting only the distinct ones).

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

The spelling of 3461212121643 in words is "three trillion, four hundred sixty-one billion, two hundred twelve million, one hundred twenty-one thousand, six hundred forty-three".