48584679201 has 64 divisors (see below), whose sum is σ = 77261184000. Its totient is φ = 30082233600.

The previous prime is 48584679197. The next prime is 48584679203. The reversal of 48584679201 is 10297648584.

It is a happy number.

48584679201 is a `hidden beast` number, since 48 + 58 + 467 + 92 + 0 + 1 = 666.

It is not a de Polignac number, because 48584679201 - 2² = 48584679197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48584679203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12135066 + ... + 12139068.

It is an arithmetic number, because the mean of its divisors is an integer number (1207206000).

Almost surely, 2^48584679201 is an apocalyptic number.

It is an amenable number.

48584679201 is a deficient number, since it is larger than the sum of its proper divisors (28676504799).

48584679201 is a wasteful number, since it uses less digits than its factorization.

48584679201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 4485 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 48584679201 in words is "forty-eight billion, five hundred eighty-four million, six hundred seventy-nine thousand, two hundred one".