2048183314128 has 960 divisors, whose sum is σ = 7475750092800. Its totient is φ = 533860346880.

The previous prime is 2048183314091. The next prime is 2048183314139. The reversal of 2048183314128 is 8214133818402.

2048183314128 is a `hidden beast` number, since 2 + 0 + 481 + 8 + 3 + 3 + 141 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 818290125 + ... + 818292627.

It is an arithmetic number, because the mean of its divisors is an integer number (7787239680).

Almost surely, 2^{2048183314128} is an apocalyptic number.

2048183314128 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 2048183314128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3737875046400).

2048183314128 is an abundant number, since it is smaller than the sum of its proper divisors (5427566778672).

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

2048183314128 is a wasteful number, since it uses less digits than its factorization.

2048183314128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 2048183314128 in words is "two trillion, forty-eight billion, one hundred eighty-three million, three hundred fourteen thousand, one hundred twenty-eight".