78584348241 has 45 divisors (see below), whose sum is σ = 132490776041. Its totient is φ = 44881794216.

The previous prime is 78584348231. The next prime is 78584348267. The reversal of 78584348241 is 14284348587.

The square root of 78584348241 is 280329.

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

78584348241 is a `hidden beast` number, since 7 + 8 + 58 + 4 + 348 + 241 = 666.

It is not a de Polignac number, because 78584348241 - 2⁵ = 78584348209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (78584348231) 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 44 ways as a sum of consecutive naturals, for example, 41207410 + ... + 41209316.

Almost surely, 2^78584348241 is an apocalyptic number.

78584348241 is the 280329-th square number.

78584348241 is the 140165-th centered octagonal number.

It is an amenable number.

78584348241 is a deficient number, since it is larger than the sum of its proper divisors (53906427800).

78584348241 is an frugal number, since it uses more digits than its factorization.

78584348241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3848 (or 1917 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 78584348241 in words is "seventy-eight billion, five hundred eighty-four million, three hundred forty-eight thousand, two hundred forty-one".