856922445288 has 768 divisors, whose sum is σ = 3166949560320. Its totient is φ = 210640269312.

The previous prime is 856922445257. The next prime is 856922445307. The reversal of 856922445288 is 882544229658.

856922445288 is a `hidden beast` number, since 8 + 5 + 69 + 2 + 2 + 44 + 528 + 8 = 666.

856922445288 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 321787045 + ... + 321789707.

It is an arithmetic number, because the mean of its divisors is an integer number (4123632240).

Almost surely, 2^856922445288 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 856922445288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583474780160).

856922445288 is an abundant number, since it is smaller than the sum of its proper divisors (2310027115032).

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

856922445288 is a wasteful number, since it uses less digits than its factorization.

856922445288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2812 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 63.

The spelling of 856922445288 in words is "eight hundred fifty-six billion, nine hundred twenty-two million, four hundred forty-five thousand, two hundred eighty-eight".