6451141761 has 27 divisors (see below), whose sum is σ = 9565784137. Its totient is φ = 4189439040.

The previous prime is 6451141733. The next prime is 6451141799. The reversal of 6451141761 is 1671411546.

The square root of 6451141761 is 80319.

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

6451141761 is a `hidden beast` number, since 6 + 451 + 141 + 7 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3616218225 + 2834923536 = 60135^2 + 53244^2 .

It is not a de Polignac number, because 6451141761 - 2¹¹ = 6451139713 is a prime.

It is a super-2 number, since 2×6451141761² = 83234460041036362242, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6451141061) 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, 9878911 + ... + 9879563.

Almost surely, 2^6451141761 is an apocalyptic number.

6451141761 is the 80319-th square number.

6451141761 is the 40160-th centered octagonal number.

It is an amenable number.

6451141761 is a deficient number, since it is larger than the sum of its proper divisors (3114642376).

6451141761 is an frugal number, since it uses more digits than its factorization.

6451141761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 697 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The cubic root of 6451141761 is about 1861.5678152827.

Multiplying 6451141761 by its sum of digits (36), we get a square (232241103396 = 481914²).

The spelling of 6451141761 in words is "six billion, four hundred fifty-one million, one hundred forty-one thousand, seven hundred sixty-one".