48430364761 has 15 divisors (see below), whose sum is σ = 50264198655. Its totient is φ = 46663430760.

The previous prime is 48430364753. The next prime is 48430364789. The reversal of 48430364761 is 16746303484.

The square root of 48430364761 is 220069.

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

48430364761 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., 45105689161 + 3324675600 = 212381^2 + 57660^2 .

It is not a de Polignac number, because 48430364761 - 2³ = 48430364753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48430367761) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 211486195 + ... + 211486423.

It is an arithmetic number, because the mean of its divisors is an integer number (3350946577).

Almost surely, 2^48430364761 is an apocalyptic number.

48430364761 is the 220069-th square number.

48430364761 is the 110035-th centered octagonal number.

It is an amenable number.

48430364761 is a deficient number, since it is larger than the sum of its proper divisors (1833833894).

48430364761 is an frugal number, since it uses more digits than its factorization.

48430364761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 48430364761 in words is "forty-eight billion, four hundred thirty million, three hundred sixty-four thousand, seven hundred sixty-one".