853383168 has 384 divisors, whose sum is σ = 2924812800. Its totient is φ = 243302400.

The previous prime is 853383163. The next prime is 853383211. The reversal of 853383168 is 861383358.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853383161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13989858 + ... + 13989918.

It is an arithmetic number, because the mean of its divisors is an integer number (7616700).

Almost surely, 2^853383168 is an apocalyptic number.

853383168 is a gapful number since it is divisible by the number (88) 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 853383168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462406400).

853383168 is an abundant number, since it is smaller than the sum of its proper divisors (2071429632).

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

853383168 is a wasteful number, since it uses less digits than its factorization.

853383168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 853383168 is about 29212.7227077518. The cubic root of 853383168 is about 948.5233450663.

The spelling of 853383168 in words is "eight hundred fifty-three million, three hundred eighty-three thousand, one hundred sixty-eight".