853494368256 has 384 divisors, whose sum is σ = 2667515760000. Its totient is φ = 268897812480.

The previous prime is 853494368227. The next prime is 853494368257. The reversal of 853494368256 is 652863494358.

853494368256 is a `hidden beast` number, since 8 + 5 + 349 + 4 + 36 + 8 + 256 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 853494368193 and 853494368202.

It is not an unprimeable number, because it can be changed into a prime (853494368257) 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, 694461850 + ... + 694463078.

It is an arithmetic number, because the mean of its divisors is an integer number (6946655625).

Almost surely, 2^853494368256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853494368256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333757880000).

853494368256 is an abundant number, since it is smaller than the sum of its proper divisors (1814021391744).

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

853494368256 is a wasteful number, since it uses less digits than its factorization.

853494368256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1914 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 63.

The spelling of 853494368256 in words is "eight hundred fifty-three billion, four hundred ninety-four million, three hundred sixty-eight thousand, two hundred fifty-six".