16849857082338 has 192 divisors, whose sum is σ = 42615645696000. Its totient is φ = 4712299358976.

The previous prime is 16849857082313. The next prime is 16849857082351. The reversal of 16849857082338 is 83328075894861.

16849857082338 is a `hidden beast` number, since 1 + 6 + 8 + 49 + 8 + 570 + 8 + 2 + 3 + 3 + 8 = 666.

It is a super-2 number, since 2×16849857082338² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 981517431 + ... + 981534597.

It is an arithmetic number, because the mean of its divisors is an integer number (221956488000).

It is a 1-persistent number, because it is pandigital, but 2⋅16849857082338 = 33699714164676 is not.

Almost surely, 2^{16849857082338} is an apocalyptic number.

16849857082338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16849857082338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21307822848000).

16849857082338 is an abundant number, since it is smaller than the sum of its proper divisors (25765788613662).

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

16849857082338 is a wasteful number, since it uses less digits than its factorization.

16849857082338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17981 (or 17978 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 16849857082338 in words is "sixteen trillion, eight hundred forty-nine billion, eight hundred fifty-seven million, eighty-two thousand, three hundred thirty-eight".