414698648841 has 9 divisors (see below), whose sum is σ = 599011949991. Its totient is φ = 276464477952.

The previous prime is 414698648821. The next prime is 414698648887. The reversal of 414698648841 is 148846896414.

The square root of 414698648841 is 643971.

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

414698648841 is a `hidden beast` number, since 4 + 14 + 69 + 86 + 488 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1115894025 + 413582754816 = 33405^2 + 643104^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 414698648841 - 2³⁷ = 277259695369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414698648821) 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, 1824585 + ... + 2039241.

Almost surely, 2^414698648841 is an apocalyptic number.

414698648841 is the 643971-st square number.

414698648841 is the 321986-th centered octagonal number.

It is an amenable number.

414698648841 is a deficient number, since it is larger than the sum of its proper divisors (184313301150).

414698648841 is an frugal number, since it uses more digits than its factorization.

414698648841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429320 (or 214660 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 63.

The spelling of 414698648841 in words is "four hundred fourteen billion, six hundred ninety-eight million, six hundred forty-eight thousand, eight hundred forty-one".