968238288081 has 81 divisors (see below), whose sum is σ = 1505964895227. Its totient is φ = 599368597920.

The previous prime is 968238288047. The next prime is 968238288091. The reversal of 968238288081 is 180882832869.

The square root of 968238288081 is 983991.

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

It can be written as a sum of positive squares in only one way, i.e., 31485308481 + 936752979600 = 177441^2 + 967860^2 .

It is not a de Polignac number, because 968238288081 - 2¹⁷ = 968238157009 is a prime.

It is a super-2 number, since 2×968238288081² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (968238288001) 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, 3421336566 + ... + 3421336848.

Almost surely, 2^968238288081 is an apocalyptic number.

968238288081 is the 983991-st square number.

968238288081 is the 491996-th centered octagonal number.

It is an amenable number.

968238288081 is a deficient number, since it is larger than the sum of its proper divisors (537726607146).

968238288081 is an equidigital number, since it uses as much as digits as its factorization.

968238288081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 968238288081 in words is "nine hundred sixty-eight billion, two hundred thirty-eight million, two hundred eighty-eight thousand, eighty-one".