1673767048128 has 224 divisors, whose sum is σ = 5408039577600. Its totient is φ = 445958701056.

The previous prime is 1673767048081. The next prime is 1673767048153. The reversal of 1673767048128 is 8218407673761.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1673767048128² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2154393 + ... + 2826471.

Almost surely, 2^{1673767048128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1673767048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704019788800).

1673767048128 is an abundant number, since it is smaller than the sum of its proper divisors (3734272529472).

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

1673767048128 is a wasteful number, since it uses less digits than its factorization.

1673767048128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672227 (or 672217 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 60.

The spelling of 1673767048128 in words is "one trillion, six hundred seventy-three billion, seven hundred sixty-seven million, forty-eight thousand, one hundred twenty-eight".