788261641281 has 81 divisors (see below), whose sum is σ = 1205312699721. Its totient is φ = 515487587328.

The previous prime is 788261641273. The next prime is 788261641291. The reversal of 788261641281 is 182146162887.

The square root of 788261641281 is 887841.

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

788261641281 is a `hidden beast` number, since 7 + 8 + 8 + 2 + 616 + 4 + 12 + 8 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 329715975681 + 458545665600 = 574209^2 + 677160^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 788261641281 - 2³ = 788261641273 is a prime.

It is a super-2 number, since 2×788261641281² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (788261641291) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6975766681 + ... + 6975766793.

Almost surely, 2^788261641281 is an apocalyptic number.

788261641281 is the 887841-st square number.

788261641281 is the 443921-st centered octagonal number.

It is an amenable number.

788261641281 is a deficient number, since it is larger than the sum of its proper divisors (417051058440).

788261641281 is an frugal number, since it uses more digits than its factorization.

788261641281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 213 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 788261641281 in words is "seven hundred eighty-eight billion, two hundred sixty-one million, six hundred forty-one thousand, two hundred eighty-one".