412661464166214 has 32 divisors (see below), whose sum is σ = 946606942894080. Its totient is φ = 133116601343400.

The previous prime is 412661464166209. The next prime is 412661464166233.

412661464166214 is a `hidden beast` number, since 4 + 1 + 2 + 6 + 6 + 1 + 4 + 6 + 4 + 1 + 6 + 621 + 4 = 666.

412661464166214 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123256110682 + ... + 123256114029.

It is an arithmetic number, because the mean of its divisors is an integer number (29581466965440).

Almost surely, 2^{412661464166214} is an apocalyptic number.

412661464166214 is an abundant number, since it is smaller than the sum of its proper divisors (533945478727866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412661464166214 is a wasteful number, since it uses less digits than its factorization.

412661464166214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246512224753 (or 246512224747 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 412661464166214 in words is "four hundred twelve trillion, six hundred sixty-one billion, four hundred sixty-four million, one hundred sixty-six thousand, two hundred fourteen".