48771129878689 has 9 divisors (see below), whose sum is σ = 48810164677977. Its totient is φ = 48732126288384.

The previous prime is 48771129878663. The next prime is 48771129878693. The reversal of 48771129878689 is 98687892117784.

It is a happy number.

The square root of 48771129878689 is 6983633.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11218647830625 + 37552482048064 = 3349425^2 + 6128008^2 .

It is not a de Polignac number, because 48771129878689 - 2³⁵ = 48736770140321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48771129878609) 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, 13192080889 + ... + 13192084585.

Almost surely, 2^{48771129878689} is an apocalyptic number.

48771129878689 is the 6983633-rd square number.

48771129878689 is the 3491817-th centered octagonal number.

It is an amenable number.

48771129878689 is a deficient number, since it is larger than the sum of its proper divisors (39034799288).

48771129878689 is an frugal number, since it uses more digits than its factorization.

48771129878689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11172 (or 5586 counting only the distinct ones).

The product of its digits is 5462360064, while the sum is 85.

The spelling of 48771129878689 in words is "forty-eight trillion, seven hundred seventy-one billion, one hundred twenty-nine million, eight hundred seventy-eight thousand, six hundred eighty-nine".