414425650081 has 9 divisors (see below), whose sum is σ = 423461741299. Its totient is φ = 405578470144.

The previous prime is 414425650063. The next prime is 414425650193. The reversal of 414425650081 is 180056524414.

The square root of 414425650081 is 643759.

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

It can be written as a sum of positive squares in only one way, i.e., 10163664225 + 404261985856 = 100815^2 + 635816^2 .

It is not a de Polignac number, because 414425650081 - 2⁵ = 414425650049 is a prime.

It is a super-2 number, since 2×414425650081² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414425657081) 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 8 ways as a sum of consecutive naturals, for example, 30249825 + ... + 30263521.

Almost surely, 2^414425650081 is an apocalyptic number.

414425650081 is the 643759-th square number.

414425650081 is the 321880-th centered octagonal number.

It is an amenable number.

414425650081 is a deficient number, since it is larger than the sum of its proper divisors (9036091218).

414425650081 is an frugal number, since it uses more digits than its factorization.

414425650081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27488 (or 13744 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

It can be divided in two parts, 4144 and 25650081, that added together give a square (25654225 = 5065²).

The spelling of 414425650081 in words is "four hundred fourteen billion, four hundred twenty-five million, six hundred fifty thousand, eighty-one".