185338120968 has 864 divisors, whose sum is σ = 698626656000. Its totient is φ = 44315631360.

The previous prime is 185338120967. The next prime is 185338121009. The reversal of 185338120968 is 869021833581.

185338120968 is a `hidden beast` number, since 1 + 8 + 53 + 381 + 209 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185338120967) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 505008321 + ... + 505008687.

Almost surely, 2^185338120968 is an apocalyptic number.

185338120968 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 185338120968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349313328000).

185338120968 is an abundant number, since it is smaller than the sum of its proper divisors (513288535032).

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

185338120968 is a wasteful number, since it uses less digits than its factorization.

185338120968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 403 counting only the distinct ones).

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

The spelling of 185338120968 in words is "one hundred eighty-five billion, three hundred thirty-eight million, one hundred twenty thousand, nine hundred sixty-eight".