2148648768 has 504 divisors, whose sum is σ = 7918777152. Its totient is φ = 564350976.

The previous prime is 2148648743. The next prime is 2148648791. The reversal of 2148648768 is 8678468412.

2148648768 is a `hidden beast` number, since 21 + 4 + 86 + 487 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4128768) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49968555 + ... + 49968597.

Almost surely, 2^2148648768 is an apocalyptic number.

2148648768 is a gapful number since it is divisible by the number (28) 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 2148648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959388576).

2148648768 is an abundant number, since it is smaller than the sum of its proper divisors (5770128384).

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

2148648768 is an frugal number, since it uses more digits than its factorization.

2148648768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 2148648768 is about 46353.5194780289. The cubic root of 2148648768 is about 1290.3924387413.

The spelling of 2148648768 in words is "two billion, one hundred forty-eight million, six hundred forty-eight thousand, seven hundred sixty-eight".