73668046961 has 8 divisors (see below), whose sum is σ = 74881755624. Its totient is φ = 72454533120.

The previous prime is 73668046937. The next prime is 73668046981. The reversal of 73668046961 is 16964086637.

It can be written as a sum of positive squares in 4 ways, for example, as 1229554225 + 72438492736 = 35065^2 + 269144^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 73668046961 - 2¹⁴ = 73668030577 is a prime.

It is a super-2 number, since 2×73668046961² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 73668046897 and 73668046906.

It is not an unprimeable number, because it can be changed into a prime (73668046981) 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 7 ways as a sum of consecutive naturals, for example, 848795 + ... + 931551.

It is an arithmetic number, because the mean of its divisors is an integer number (9360219453).

Almost surely, 2^73668046961 is an apocalyptic number.

It is an amenable number.

73668046961 is a deficient number, since it is larger than the sum of its proper divisors (1213708663).

73668046961 is a wasteful number, since it uses less digits than its factorization.

73668046961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97411.

The product of its (nonzero) digits is 7838208, while the sum is 56.

The spelling of 73668046961 in words is "seventy-three billion, six hundred sixty-eight million, forty-six thousand, nine hundred sixty-one".