2148068781768 has 512 divisors, whose sum is σ = 7104551731200. Its totient is φ = 525394501632.

The previous prime is 2148068781751. The next prime is 2148068781769. The reversal of 2148068781768 is 8671878608412.

It is a super-2 number, since 2×2148068781768² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2148068781699 and 2148068781708.

It is not an unprimeable number, because it can be changed into a prime (2148068781769) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1356959905 + ... + 1356961487.

It is an arithmetic number, because the mean of its divisors is an integer number (13876077600).

Almost surely, 2^{2148068781768} is an apocalyptic number.

2148068781768 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 2148068781768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552275865600).

2148068781768 is an abundant number, since it is smaller than the sum of its proper divisors (4956482949432).

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

2148068781768 is a wasteful number, since it uses less digits than its factorization.

2148068781768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 66.

The spelling of 2148068781768 in words is "two trillion, one hundred forty-eight billion, sixty-eight million, seven hundred eighty-one thousand, seven hundred sixty-eight".