48479671760 has 40 divisors (see below), whose sum is σ = 121385642280. Its totient is φ = 17900186112.

The previous prime is 48479671733. The next prime is 48479671769. The reversal of 48479671760 is 6717697484.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2810272144 + 45669399616 = 53012^2 + 213704^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 48479671760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48479671769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23306495 + ... + 23308574.

It is an arithmetic number, because the mean of its divisors is an integer number (3034641057).

Almost surely, 2^48479671760 is an apocalyptic number.

48479671760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48479671760 is an abundant number, since it is smaller than the sum of its proper divisors (72905970520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48479671760 is a wasteful number, since it uses less digits than its factorization.

48479671760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46615095 (or 46615089 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 59.

The spelling of 48479671760 in words is "forty-eight billion, four hundred seventy-nine million, six hundred seventy-one thousand, seven hundred sixty".