48079771441 has 27 divisors (see below), whose sum is σ = 52900042593. Its totient is φ = 43678783200.

The previous prime is 48079771429. The next prime is 48079771463. The reversal of 48079771441 is 14417797084.

The square root of 48079771441 is 219271.

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

48079771441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1813482225 + 46266289216 = 42585^2 + 215096^2 .

It is not a de Polignac number, because 48079771441 - 2³³ = 39489836849 is a prime.

It is a super-3 number, since 3×48079771441³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48079771141) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 287902740 + ... + 287902906.

Almost surely, 2^48079771441 is an apocalyptic number.

48079771441 is the 219271-st square number.

48079771441 is the 109636-th centered octagonal number.

It is an amenable number.

48079771441 is a deficient number, since it is larger than the sum of its proper divisors (4820271152).

48079771441 is an equidigital number, since it uses as much as digits as its factorization.

48079771441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 52.

The spelling of 48079771441 in words is "forty-eight billion, seventy-nine million, seven hundred seventy-one thousand, four hundred forty-one".