63868914729 has 27 divisors (see below), whose sum is σ = 93860236197. Its totient is φ = 41850928800.

The previous prime is 63868914721. The next prime is 63868914737. The reversal of 63868914729 is 92741986836.

The square root of 63868914729 is 252723.

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

63868914729 is a `hidden beast` number, since 6 + 3 + 86 + 89 + 1 + 472 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (63868914721) and next prime (63868914737).

It can be written as a sum of positive squares in 4 ways, for example, as 23371377129 + 40497537600 = 152877^2 + 201240^2 .

It is not a de Polignac number, because 63868914729 - 2³ = 63868914721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (63868914721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46247619 + ... + 46248999.

Almost surely, 2^63868914729 is an apocalyptic number.

63868914729 is the 252723-rd square number.

63868914729 is the 126362-nd centered octagonal number.

It is an amenable number.

63868914729 is a deficient number, since it is larger than the sum of its proper divisors (29991321468).

63868914729 is an frugal number, since it uses more digits than its factorization.

63868914729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 1445 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 63868914729 in words is "sixty-three billion, eight hundred sixty-eight million, nine hundred fourteen thousand, seven hundred twenty-nine".