1612146412161 has 48 divisors (see below), whose sum is σ = 2447753907456. Its totient is φ = 1021171027968.

The previous prime is 1612146412157. The next prime is 1612146412207.

1612146412161 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 1 + 4 + 641 + 2 + 1 + 6 + 1 = 666.

1612146412161 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1612146412161 - 2² = 1612146412157 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1612146412561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84515521 + ... + 84534593.

It is an arithmetic number, because the mean of its divisors is an integer number (50994873072).

Almost surely, 2^{1612146412161} is an apocalyptic number.

It is an amenable number.

1612146412161 is a deficient number, since it is larger than the sum of its proper divisors (835607495295).

1612146412161 is a wasteful number, since it uses less digits than its factorization.

1612146412161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25062 (or 25059 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The spelling of 1612146412161 in words is "one trillion, six hundred twelve billion, one hundred forty-six million, four hundred twelve thousand, one hundred sixty-one".