16830168336 has 240 divisors, whose sum is σ = 51511369728. Its totient is φ = 5311785600.

The previous prime is 16830168331. The next prime is 16830168347. The reversal of 16830168336 is 63386103861.

16830168336 is a `hidden beast` number, since 1 + 6 + 8 + 301 + 6 + 8 + 336 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 16830168291 and 16830168300.

It is not an unprimeable number, because it can be changed into a prime (16830168331) 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, 5663331 + ... + 5666301.

Almost surely, 2^16830168336 is an apocalyptic number.

16830168336 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 16830168336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25755684864).

16830168336 is an abundant number, since it is smaller than the sum of its proper divisors (34681201392).

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

16830168336 is a wasteful number, since it uses less digits than its factorization.

16830168336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 16830168336 in words is "sixteen billion, eight hundred thirty million, one hundred sixty-eight thousand, three hundred thirty-six".