1643122213461 has 6 divisors (see below), whose sum is σ = 2373398752790. Its totient is φ = 1095414808968.

The previous prime is 1643122213417. The next prime is 1643122213487.

1643122213461 is a `hidden beast` number, since 1 + 6 + 431 + 2 + 2 + 213 + 4 + 6 + 1 = 666.

1643122213461 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 1200983659236 + 442138554225 = 1095894^2 + 664935^2 .

It is not a de Polignac number, because 1643122213461 - 2⁷ = 1643122213333 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 (1643122213261) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91284567406 + ... + 91284567423.

Almost surely, 2^{1643122213461} is an apocalyptic number.

It is an amenable number.

1643122213461 is a deficient number, since it is larger than the sum of its proper divisors (730276539329).

1643122213461 is a wasteful number, since it uses less digits than its factorization.

1643122213461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182569134835 (or 182569134832 counting only the distinct ones).

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

The spelling of 1643122213461 in words is "one trillion, six hundred forty-three billion, one hundred twenty-two million, two hundred thirteen thousand, four hundred sixty-one".