16830364600 has 192 divisors, whose sum is σ = 46471579200. Its totient is φ = 5546311680.

The previous prime is 16830364567. The next prime is 16830364627. The reversal of 16830364600 is 646303861.

It is a super-2 number, since 2×16830364600² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16830364600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10433394 + ... + 10435006.

It is an arithmetic number, because the mean of its divisors is an integer number (242039475).

Almost surely, 2^16830364600 is an apocalyptic number.

16830364600 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 16830364600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23235789600).

16830364600 is an abundant number, since it is smaller than the sum of its proper divisors (29641214600).

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

16830364600 is a wasteful number, since it uses less digits than its factorization.

16830364600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

It can be divided in two parts, 168303 and 64600, that added together give a triangular number (232903 = T₆₈₂).

The spelling of 16830364600 in words is "sixteen billion, eight hundred thirty million, three hundred sixty-four thousand, six hundred".