16985113152 has 224 divisors, whose sum is σ = 52340256000. Its totient is φ = 4761157632.

The previous prime is 16985113127. The next prime is 16985113169. The reversal of 16985113152 is 25131158961.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17822308 + ... + 17823260.

Almost surely, 2^16985113152 is an apocalyptic number.

16985113152 is a gapful number since it is divisible by the number (12) 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 16985113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26170128000).

16985113152 is an abundant number, since it is smaller than the sum of its proper divisors (35355142848).

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

16985113152 is a wasteful number, since it uses less digits than its factorization.

16985113152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1203 counting only the distinct ones).

The product of its digits is 64800, while the sum is 42.

The spelling of 16985113152 in words is "sixteen billion, nine hundred eighty-five million, one hundred thirteen thousand, one hundred fifty-two".