48768325164 has 144 divisors (see below), whose sum is σ = 140060400480. Its totient is φ = 14183838720.

The previous prime is 48768325163. The next prime is 48768325271. The reversal of 48768325164 is 46152386784.

It is a happy number.

48768325164 is a `hidden beast` number, since 48 + 7 + 6 + 83 + 2 + 516 + 4 = 666.

48768325164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48768325164³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 48768325164.

It is not an unprimeable number, because it can be changed into a prime (48768325163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4093264 + ... + 4105160.

It is an arithmetic number, because the mean of its divisors is an integer number (972641670).

Almost surely, 2^48768325164 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 48768325164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70030200240).

48768325164 is an abundant number, since it is smaller than the sum of its proper divisors (91292075316).

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

48768325164 is a wasteful number, since it uses less digits than its factorization.

48768325164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12400 (or 12395 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 48768325164 in words is "forty-eight billion, seven hundred sixty-eight million, three hundred twenty-five thousand, one hundred sixty-four".