2048189175144 has 384 divisors, whose sum is σ = 6634425657600. Its totient is φ = 558473932800.

The previous prime is 2048189175061. The next prime is 2048189175209. The reversal of 2048189175144 is 4415719818402.

It is a happy number.

2048189175144 is a `hidden beast` number, since 2 + 0 + 48 + 1 + 89 + 1 + 7 + 514 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1716838612 + ... + 1716839804.

It is an arithmetic number, because the mean of its divisors is an integer number (17277150150).

Almost surely, 2^{2048189175144} is an apocalyptic number.

2048189175144 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 2048189175144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317212828800).

2048189175144 is an abundant number, since it is smaller than the sum of its proper divisors (4586236482456).

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

2048189175144 is a wasteful number, since it uses less digits than its factorization.

2048189175144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 2048189175144 in words is "two trillion, forty-eight billion, one hundred eighty-nine million, one hundred seventy-five thousand, one hundred forty-four".