16846189920 has 768 divisors, whose sum is σ = 71797985280. Its totient is φ = 3605741568.

The previous prime is 16846189903. The next prime is 16846189939. The reversal of 16846189920 is 2998164861.

16846189920 is a `hidden beast` number, since 16 + 8 + 4 + 618 + 9 + 9 + 2 + 0 = 666.

16846189920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16846189920² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 36862332 + ... + 36862788.

It is an arithmetic number, because the mean of its divisors is an integer number (93486960).

Almost surely, 2^16846189920 is an apocalyptic number.

16846189920 is a gapful number since it is divisible by the number (10) 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 16846189920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35898992640).

16846189920 is an abundant number, since it is smaller than the sum of its proper divisors (54951795360).

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

16846189920 is a wasteful number, since it uses less digits than its factorization.

16846189920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 16846189920 in words is "sixteen billion, eight hundred forty-six million, one hundred eighty-nine thousand, nine hundred twenty".