48280833441 has 9 divisors (see below), whose sum is σ = 69739933809. Its totient is φ = 32186782836.

The previous prime is 48280833439. The next prime is 48280833451. The reversal of 48280833441 is 14433808284.

It is a happy number.

The square root of 48280833441 is 219729.

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

48280833441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 48280833441 - 2¹ = 48280833439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48280833401) 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, 622566 + ... + 695808.

Almost surely, 2^48280833441 is an apocalyptic number.

48280833441 is the 219729-th square number.

48280833441 is the 109865-th centered octagonal number.

It is an amenable number.

48280833441 is a deficient number, since it is larger than the sum of its proper divisors (21459100368).

48280833441 is an frugal number, since it uses more digits than its factorization.

48280833441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146492 (or 73246 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

It can be divided in two parts, 48280 and 833441, that added together give a square (881721 = 939²).

The spelling of 48280833441 in words is "forty-eight billion, two hundred eighty million, eight hundred thirty-three thousand, four hundred forty-one".