813313886112 has 288 divisors, whose sum is σ = 2848431785472. Its totient is φ = 214362243072.

The previous prime is 813313886111. The next prime is 813313886131. The reversal of 813313886112 is 211688313318.

It is a happy number.

813313886112 is a `hidden beast` number, since 8 + 13 + 3 + 13 + 8 + 8 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×813313886112² (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (813313886111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44465833 + ... + 44484119.

It is an arithmetic number, because the mean of its divisors is an integer number (9890388144).

Almost surely, 2^813313886112 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 813313886112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424215892736).

813313886112 is an abundant number, since it is smaller than the sum of its proper divisors (2035117899360).

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

813313886112 is a wasteful number, since it uses less digits than its factorization.

813313886112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20020 (or 20009 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 813313886112 in words is "eight hundred thirteen billion, three hundred thirteen million, eight hundred eighty-six thousand, one hundred twelve".