80713675478241 has 135 divisors (see below), whose sum is σ = 134962491777993. Its totient is φ = 48048291944640.

The previous prime is 80713675478239. The next prime is 80713675478263. The reversal of 80713675478241 is 14287457631708.

It is a happy number.

The square root of 80713675478241 is 8984079.

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

80713675478241 is a `hidden beast` number, since 8 + 0 + 7 + 1 + 3 + 6 + 7 + 547 + 82 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11587753838241 + 69125921640000 = 3404079^2 + 8314200^2 .

It is not a de Polignac number, because 80713675478241 - 2¹ = 80713675478239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (80713675478291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 32585253295 + ... + 32585255771.

Almost surely, 2^{80713675478241} is an apocalyptic number.

80713675478241 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

80713675478241 is the 8984079-th square number.

80713675478241 is the 4492040-th centered octagonal number.

It is an amenable number.

80713675478241 is a deficient number, since it is larger than the sum of its proper divisors (54248816299752).

80713675478241 is an frugal number, since it uses more digits than its factorization.

80713675478241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 80713675478241 in words is "eighty trillion, seven hundred thirteen billion, six hundred seventy-five million, four hundred seventy-eight thousand, two hundred forty-one".