818786545200 has 1440 divisors, whose sum is σ = 3376569600000. Its totient is φ = 187942809600.

The previous prime is 818786545141. The next prime is 818786545249. The reversal of 818786545200 is 2545687818.

818786545200 is a `hidden beast` number, since 8 + 1 + 8 + 78 + 6 + 545 + 20 + 0 = 666.

It is a super-2 number, since 2×818786545200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1640854551 + ... + 1640855049.

It is an arithmetic number, because the mean of its divisors is an integer number (2344840000).

Almost surely, 2^818786545200 is an apocalyptic number.

818786545200 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 818786545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688284800000).

818786545200 is an abundant number, since it is smaller than the sum of its proper divisors (2557783054800).

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

818786545200 is a wasteful number, since it uses less digits than its factorization.

818786545200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 818786545200 in words is "eight hundred eighteen billion, seven hundred eighty-six million, five hundred forty-five thousand, two hundred".