48359602018728 has 1792 divisors, whose sum is σ = 193709511475200. Its totient is φ = 10894795591680.

The previous prime is 48359602018681. The next prime is 48359602018753. The reversal of 48359602018728 is 82781020695384.

48359602018728 is a `hidden beast` number, since 4 + 8 + 3 + 5 + 9 + 602 + 0 + 18 + 7 + 2 + 8 = 666.

It is a super-2 number, since 2×48359602018728² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 14086686900 + ... + 14086690332.

It is an arithmetic number, because the mean of its divisors is an integer number (108096825600).

It is a 1-persistent number, because it is pandigital, but 2⋅48359602018728 = 96719204037456 is not.

Almost surely, 2^{48359602018728} 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 48359602018728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96854755737600).

48359602018728 is an abundant number, since it is smaller than the sum of its proper divisors (145349909456472).

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

48359602018728 is a wasteful number, since it uses less digits than its factorization.

48359602018728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 48359602018728 in words is "forty-eight trillion, three hundred fifty-nine billion, six hundred two million, eighteen thousand, seven hundred twenty-eight".