48259201536 has 720 divisors, whose sum is σ = 179183172168. Its totient is φ = 12386304000.

The previous prime is 48259201489. The next prime is 48259201567. The reversal of 48259201536 is 63510295284.

48259201536 is a `hidden beast` number, since 4 + 8 + 2 + 592 + 0 + 1 + 53 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36039225600 + 12219975936 = 189840^2 + 110544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 48259201491 and 48259201500.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 120346936 + ... + 120347336.

Almost surely, 2^48259201536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48259201536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89591586084).

48259201536 is an abundant number, since it is smaller than the sum of its proper divisors (130923970632).

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

48259201536 is a wasteful number, since it uses less digits than its factorization.

48259201536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 48259201536 in words is "forty-eight billion, two hundred fifty-nine million, two hundred one thousand, five hundred thirty-six".