818383007232 has 960 divisors, whose sum is σ = 2967953788800. Its totient is φ = 211770408960.

The previous prime is 818383007231. The next prime is 818383007251. The reversal of 818383007232 is 232700383818.

818383007232 is a `hidden beast` number, since 81 + 8 + 38 + 300 + 7 + 232 = 666.

818383007232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (818383007231) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2000936244 + ... + 2000936652.

It is an arithmetic number, because the mean of its divisors is an integer number (3091618530).

Almost surely, 2^818383007232 is an apocalyptic number.

818383007232 is a gapful number since it is divisible by the number (82) 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 818383007232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483976894400).

818383007232 is an abundant number, since it is smaller than the sum of its proper divisors (2149570781568).

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

818383007232 is a wasteful number, since it uses less digits than its factorization.

818383007232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 818383007232 in words is "eight hundred eighteen billion, three hundred eighty-three million, seven thousand, two hundred thirty-two".