20017348849344 has 672 divisors, whose sum is σ = 69671416135680. Its totient is φ = 5010347059200.

The previous prime is 20017348849291. The next prime is 20017348849373. The reversal of 20017348849344 is 44394884371002.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 766729539 + ... + 766755645.

Almost surely, 2^{20017348849344} is an apocalyptic number.

20017348849344 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 20017348849344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34835708067840).

20017348849344 is an abundant number, since it is smaller than the sum of its proper divisors (49654067286336).

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

20017348849344 is a wasteful number, since it uses less digits than its factorization.

20017348849344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26417 (or 26400 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 20017348849344 in words is "twenty trillion, seventeen billion, three hundred forty-eight million, eight hundred forty-nine thousand, three hundred forty-four".