48540461761 has 9 divisors (see below), whose sum is σ = 53357055843. Its totient is φ = 44125489320.

The previous prime is 48540461747. The next prime is 48540461791. The reversal of 48540461761 is 16716404584.

The square root of 48540461761 is 220319.

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

48540461761 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 only one way, i.e., 12660525361 + 35879936400 = 112519^2 + 189420^2 .

It is not a de Polignac number, because 48540461761 - 2¹¹ = 48540459713 is a prime.

It is a super-2 number, since 2×48540461761² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48540461791) 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, 2413495 + ... + 2433523.

Almost surely, 2^48540461761 is an apocalyptic number.

48540461761 is the 220319-th square number.

48540461761 is the 110160-th centered octagonal number.

It is an amenable number.

48540461761 is a deficient number, since it is larger than the sum of its proper divisors (4816594082).

48540461761 is an frugal number, since it uses more digits than its factorization.

48540461761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40080 (or 20040 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 48540461761 in words is "forty-eight billion, five hundred forty million, four hundred sixty-one thousand, seven hundred sixty-one".