78648276249 has 9 divisors (see below), whose sum is σ = 113604280959. Its totient is φ = 52431623280.

The previous prime is 78648276241. The next prime is 78648276253. The reversal of 78648276249 is 94267284687.

The square root of 78648276249 is 280443.

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

78648276249 is a `hidden beast` number, since 7 + 86 + 48 + 276 + 249 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67369836249 + 11278440000 = 259557^2 + 106200^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 78648276249 - 2³ = 78648276241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (78648276241) 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, 794589 + ... + 888069.

Almost surely, 2^78648276249 is an apocalyptic number.

78648276249 is the 280443-rd square number.

78648276249 is the 140222-nd centered octagonal number.

It is an amenable number.

78648276249 is a deficient number, since it is larger than the sum of its proper divisors (34956004710).

78648276249 is an frugal number, since it uses more digits than its factorization.

78648276249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186968 (or 93484 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 78648276249 in words is "seventy-eight billion, six hundred forty-eight million, two hundred seventy-six thousand, two hundred forty-nine".