414580166641 has 3 divisors (see below), whose sum is σ = 414580810521. Its totient is φ = 414579522762.

The previous prime is 414580166633. The next prime is 414580166677. The reversal of 414580166641 is 146661085414.

The square root of 414580166641 is 643879.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 414580166641 - 2³ = 414580166633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414580166591 and 414580166600.

It is not an unprimeable number, because it can be changed into a prime (414580166141) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 321940 + ... + 965818.

It is an arithmetic number, because the mean of its divisors is an integer number (138193603507).

Almost surely, 2^414580166641 is an apocalyptic number.

414580166641 is the 643879-th square number.

414580166641 is the 321940-th centered octagonal number.

It is an amenable number.

414580166641 is a deficient number, since it is larger than the sum of its proper divisors (643880).

414580166641 is an frugal number, since it uses more digits than its factorization.

414580166641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287758 (or 643879 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 414580166641 in words is "four hundred fourteen billion, five hundred eighty million, one hundred sixty-six thousand, six hundred forty-one".