2148720768896 has 128 divisors (see below), whose sum is σ = 4955813452800. Its totient is φ = 919531173888.

The previous prime is 2148720768863. The next prime is 2148720768919. The reversal of 2148720768896 is 6988670278412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762941 + ... + 2208963.

It is an arithmetic number, because the mean of its divisors is an integer number (38717292600).

Almost surely, 2^{2148720768896} is an apocalyptic number.

2148720768896 is a gapful number since it is divisible by the number (26) 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 2148720768896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477906726400).

2148720768896 is an abundant number, since it is smaller than the sum of its proper divisors (2807092683904).

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

2148720768896 is a wasteful number, since it uses less digits than its factorization.

2148720768896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446116 (or 1446104 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 68.

The spelling of 2148720768896 in words is "two trillion, one hundred forty-eight billion, seven hundred twenty million, seven hundred sixty-eight thousand, eight hundred ninety-six".