43141001648761 has 27 divisors (see below), whose sum is σ = 44891004951559. Its totient is φ = 41457517744832.

The previous prime is 43141001648713. The next prime is 43141001648777. The reversal of 43141001648761 is 16784610014134.

The square root of 43141001648761 is 6568181.

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

It can be written as a sum of positive squares in 13 ways, for example, as 19623739357161 + 23517262291600 = 4429869^2 + 4849460^2 .

It is a de Polignac number, because none of the positive numbers 2^k-43141001648761 is a prime.

It is a super-2 number, since 2×43141001648761² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (43141001648561) 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, 55809833571 + ... + 55809834343.

Almost surely, 2^{43141001648761} is an apocalyptic number.

43141001648761 is the 6568181-st square number.

43141001648761 is the 3284091-st centered octagonal number.

It is an amenable number.

43141001648761 is a deficient number, since it is larger than the sum of its proper divisors (1750003302798).

43141001648761 is an frugal number, since it uses more digits than its factorization.

43141001648761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 43141001648761 in words is "forty-three trillion, one hundred forty-one billion, one million, six hundred forty-eight thousand, seven hundred sixty-one".