1729000018848 has 192 divisors, whose sum is σ = 4794733440000. Its totient is φ = 544034340864.

The previous prime is 1729000018841. The next prime is 1729000018883. The reversal of 1729000018848 is 8488100009271.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1729000018797 and 1729000018806.

It is not an unprimeable number, because it can be changed into a prime (1729000018841) by changing a digit.

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, 1185057543 + ... + 1185059001.

It is an arithmetic number, because the mean of its divisors is an integer number (24972570000).

Almost surely, 2^{1729000018848} 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 1729000018848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397366720000).

1729000018848 is an abundant number, since it is smaller than the sum of its proper divisors (3065733421152).

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

1729000018848 is a wasteful number, since it uses less digits than its factorization.

1729000018848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The spelling of 1729000018848 in words is "one trillion, seven hundred twenty-nine billion, eighteen thousand, eight hundred forty-eight".