818522745600 has 864 divisors, whose sum is σ = 3302089652736. Its totient is φ = 174292992000.

The previous prime is 818522745589. The next prime is 818522745613. The reversal of 818522745600 is 6547225818.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 818522745600.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 230763027 + ... + 230766573.

It is an arithmetic number, because the mean of its divisors is an integer number (3821863024).

Almost surely, 2^818522745600 is an apocalyptic number.

818522745600 is a gapful number since it is divisible by the number (80) 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 818522745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651044826368).

818522745600 is an abundant number, since it is smaller than the sum of its proper divisors (2483566907136).

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

818522745600 is a wasteful number, since it uses less digits than its factorization.

818522745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 818522745600 in words is "eight hundred eighteen billion, five hundred twenty-two million, seven hundred forty-five thousand, six hundred".