968391796761 has 27 divisors (see below), whose sum is σ = 1452633464191. Its totient is φ = 645541391448.

The previous prime is 968391796741. The next prime is 968391796783. The reversal of 968391796761 is 167697193869.

The square root of 968391796761 is 984069.

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

968391796761 is a `hidden beast` number, since 96 + 8 + 391 + 7 + 96 + 7 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 952831729161 + 15560067600 = 976131^2 + 124740^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 968391796761 - 2⁹ = 968391796249 is a prime.

It is a super-2 number, since 2×968391796761² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 968391796761.

It is not an unprimeable number, because it can be changed into a prime (968391796741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79703515 + ... + 79715663.

Almost surely, 2^968391796761 is an apocalyptic number.

968391796761 is the 984069-th square number.

968391796761 is the 492035-th centered octagonal number.

It is an amenable number.

968391796761 is a deficient number, since it is larger than the sum of its proper divisors (484241667430).

968391796761 is an frugal number, since it uses more digits than its factorization.

968391796761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24322 (or 12152 counting only the distinct ones).

The product of its digits is 185177664, while the sum is 72.

The spelling of 968391796761 in words is "nine hundred sixty-eight billion, three hundred ninety-one million, seven hundred ninety-six thousand, seven hundred sixty-one".