73646656188169 has 9 divisors (see below), whose sum is σ = 73763923353159. Its totient is φ = 73529575195560.

The previous prime is 73646656188143. The next prime is 73646656188197. The reversal of 73646656188169 is 96188165664637.

It is a happy number.

The square root of 73646656188169 is 8581763.

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., 58476410178169 + 15170246010000 = 7646987^2 + 3894900^2 .

It is not a de Polignac number, because 73646656188169 - 2¹¹ = 73646656186121 is a prime.

It is a super-2 number, since 2×73646656188169² (a number of 29 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 = 73646656188095 and 73646656188104.

It is not an unprimeable number, because it can be changed into a prime (73646656188869) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5672538852 + ... + 5672551834.

Almost surely, 2^{73646656188169} is an apocalyptic number.

73646656188169 is the 8581763-rd square number.

73646656188169 is the 4290882-nd centered octagonal number.

It is an amenable number.

73646656188169 is a deficient number, since it is larger than the sum of its proper divisors (117267164990).

73646656188169 is an frugal number, since it uses more digits than its factorization.

73646656188169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27288 (or 13644 counting only the distinct ones).

The product of its digits is 1881169920, while the sum is 76.

The spelling of 73646656188169 in words is "seventy-three trillion, six hundred forty-six billion, six hundred fifty-six million, one hundred eighty-eight thousand, one hundred sixty-nine".