414848063569 has 27 divisors (see below), whose sum is σ = 435813791049. Its totient is φ = 394876857960.

The previous prime is 414848063563. The next prime is 414848063593. The reversal of 414848063569 is 965360848414.

The square root of 414848063569 is 644087.

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

It is not a de Polignac number, because 414848063569 - 2⁹ = 414848063057 is a prime.

It is a super-2 number, since 2×414848063569² (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 (414848063563) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1577368932 + ... + 1577369194.

Almost surely, 2^414848063569 is an apocalyptic number.

414848063569 is the 644087-th square number.

414848063569 is the 322044-th centered octagonal number.

It is an amenable number.

414848063569 is a deficient number, since it is larger than the sum of its proper divisors (20965727480).

414848063569 is an frugal number, since it uses more digits than its factorization.

414848063569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 58.

The spelling of 414848063569 in words is "four hundred fourteen billion, eight hundred forty-eight million, sixty-three thousand, five hundred sixty-nine".