48648600000 has 2016 divisors, whose sum is σ = 242681467392. Its totient is φ = 9331200000.

The previous prime is 48648599963. The next prime is 48648600017. The reversal of 48648600000 is 684684.

48648600000 is a `hidden beast` number, since 4 + 8 + 6 + 48 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3742199994 + ... + 3742200006.

It is an arithmetic number, because the mean of its divisors is an integer number (120377712).

Almost surely, 2^48648600000 is an apocalyptic number.

48648600000 is a gapful number since it is divisible by the number (40) 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 48648600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121340733696).

48648600000 is an abundant number, since it is smaller than the sum of its proper divisors (194032867392).

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

48648600000 is an equidigital number, since it uses as much as digits as its factorization.

48648600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 48648600000 in words is "forty-eight billion, six hundred forty-eight million, six hundred thousand".