16974989350336 has 224 divisors, whose sum is σ = 36779938997760. Its totient is φ = 7751546880000.

The previous prime is 16974989350331. The next prime is 16974989350339. The reversal of 16974989350336 is 63305398947961.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16974989350331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 808283836 + ... + 808304836.

It is an arithmetic number, because the mean of its divisors is an integer number (164196156240).

Almost surely, 2^{16974989350336} is an apocalyptic number.

16974989350336 is a gapful number since it is divisible by the number (16) 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 16974989350336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18389969498880).

16974989350336 is an abundant number, since it is smaller than the sum of its proper divisors (19804949647424).

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

16974989350336 is a wasteful number, since it uses less digits than its factorization.

16974989350336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21363 (or 21353 counting only the distinct ones).

The product of its (nonzero) digits is 793618560, while the sum is 73.

The spelling of 16974989350336 in words is "sixteen trillion, nine hundred seventy-four billion, nine hundred eighty-nine million, three hundred fifty thousand, three hundred thirty-six".