2048128947144 has 256 divisors, whose sum is σ = 6847626240000. Its totient is φ = 554103825408.

The previous prime is 2048128947113. The next prime is 2048128947149. The reversal of 2048128947144 is 4417498218402.

2048128947144 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 128 + 9 + 471 + 44 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2048128947149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61145169 + ... + 61178655.

It is an arithmetic number, because the mean of its divisors is an integer number (26748540000).

Almost surely, 2^{2048128947144} is an apocalyptic number.

2048128947144 is a gapful number since it is divisible by the number (24) 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 2048128947144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423813120000).

2048128947144 is an abundant number, since it is smaller than the sum of its proper divisors (4799497292856).

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

2048128947144 is a wasteful number, since it uses less digits than its factorization.

2048128947144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35657 (or 35647 counting only the distinct ones).

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

The spelling of 2048128947144 in words is "two trillion, forty-eight billion, one hundred twenty-eight million, nine hundred forty-seven thousand, one hundred forty-four".