48614748568128 has 672 divisors, whose sum is σ = 149724151729152. Its totient is φ = 15630170572800.

The previous prime is 48614748568079. The next prime is 48614748568129. The reversal of 48614748568128 is 82186584741684.

48614748568128 is a `hidden beast` number, since 4 + 8 + 6 + 1 + 4 + 7 + 48 + 568 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (48614748568129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31753590723 + ... + 31753592253.

It is an arithmetic number, because the mean of its divisors is an integer number (222803797216).

Almost surely, 2^{48614748568128} is an apocalyptic number.

48614748568128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48614748568128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74862075864576).

48614748568128 is an abundant number, since it is smaller than the sum of its proper divisors (101109403161024).

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

48614748568128 is a wasteful number, since it uses less digits than its factorization.

48614748568128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2143 counting only the distinct ones).

The product of its digits is 660602880, while the sum is 72.

The spelling of 48614748568128 in words is "forty-eight trillion, six hundred fourteen billion, seven hundred forty-eight million, five hundred sixty-eight thousand, one hundred twenty-eight".