16046985168 has 240 divisors, whose sum is σ = 49794937920. Its totient is φ = 4985100288.

The previous prime is 16046985127. The next prime is 16046985169. The reversal of 16046985168 is 86158964061.

16046985168 is a `hidden beast` number, since 1 + 60 + 4 + 69 + 8 + 516 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16046985169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7071138 + ... + 7073406.

It is an arithmetic number, because the mean of its divisors is an integer number (207478908).

Almost surely, 2^16046985168 is an apocalyptic number.

16046985168 is a gapful number since it is divisible by the number (18) 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 16046985168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24897468960).

16046985168 is an abundant number, since it is smaller than the sum of its proper divisors (33747952752).

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

16046985168 is a wasteful number, since it uses less digits than its factorization.

16046985168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 16046985168 in words is "sixteen billion, forty-six million, nine hundred eighty-five thousand, one hundred sixty-eight".