68335534773961 has 27 divisors (see below), whose sum is σ = 86078470001013. Its totient is φ = 54067080674880.

The previous prime is 68335534773953. The next prime is 68335534773977. The reversal of 68335534773961 is 16937743553386.

The square root of 68335534773961 is 8266531.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2752164871225 + 65583369902736 = 1658965^2 + 8098356^2 .

It is not a de Polignac number, because 68335534773961 - 2³ = 68335534773953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (68335534773361) 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, 752208901 + ... + 752299741.

It is an arithmetic number, because the mean of its divisors is an integer number (3188091481519).

Almost surely, 2^{68335534773961} is an apocalyptic number.

68335534773961 is the 8266531-st square number.

68335534773961 is the 4133266-th centered octagonal number.

It is an amenable number.

68335534773961 is a deficient number, since it is larger than the sum of its proper divisors (17742935227052).

68335534773961 is an frugal number, since it uses more digits than its factorization.

68335534773961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181722 (or 90861 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 70.

The spelling of 68335534773961 in words is "sixty-eight trillion, three hundred thirty-five billion, five hundred thirty-four million, seven hundred seventy-three thousand, nine hundred sixty-one".