414569864641 has 9 divisors (see below), whose sum is σ = 415809141411. Its totient is φ = 413334276192.

The previous prime is 414569864561. The next prime is 414569864699. The reversal of 414569864641 is 146468965414.

The square root of 414569864641 is 643871.

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., 46489828225 + 368080036416 = 215615^2 + 606696^2 .

It is not a de Polignac number, because 414569864641 - 2¹¹ = 414569862593 is a prime.

It is a Duffinian number.

Its product of digits (19906560) is a multiple of the sum of its prime divisors (1920).

It is not an unprimeable number, because it can be changed into a prime (414569864941) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 278795400 + ... + 278796886.

Almost surely, 2^414569864641 is an apocalyptic number.

414569864641 is the 643871-st square number.

414569864641 is the 321936-th centered octagonal number.

It is an amenable number.

414569864641 is a deficient number, since it is larger than the sum of its proper divisors (1239276770).

414569864641 is an frugal number, since it uses more digits than its factorization.

414569864641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3840 (or 1920 counting only the distinct ones).

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

The spelling of 414569864641 in words is "four hundred fourteen billion, five hundred sixty-nine million, eight hundred sixty-four thousand, six hundred forty-one".