48545749561 has 9 divisors (see below), whose sum is σ = 49185666831. Its totient is φ = 47914060584.

The previous prime is 48545749529. The next prime is 48545749573. The reversal of 48545749561 is 16594754584.

The square root of 48545749561 is 220331.

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

It can be written as a sum of positive squares in only one way, i.e., 30509259561 + 18036490000 = 174669^2 + 134300^2 .

It is not a de Polignac number, because 48545749561 - 2⁵ = 48545749529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 48545749496 and 48545749505.

It is not an unprimeable number, because it can be changed into a prime (48545749501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17404755 + ... + 17407543.

Almost surely, 2^48545749561 is an apocalyptic number.

48545749561 is the 220331-st square number.

48545749561 is the 110166-th centered octagonal number.

It is an amenable number.

48545749561 is a deficient number, since it is larger than the sum of its proper divisors (639917270).

48545749561 is an frugal number, since it uses more digits than its factorization.

48545749561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736 (or 2868 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 58.

The spelling of 48545749561 in words is "forty-eight billion, five hundred forty-five million, seven hundred forty-nine thousand, five hundred sixty-one".