8181123772800 has 384 divisors, whose sum is σ = 30674372785920. Its totient is φ = 1897071616000.

The previous prime is 8181123772769. The next prime is 8181123772819. The reversal of 8181123772800 is 82773211818.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 8181123772800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 744610 + ... + 4112990.

It is an arithmetic number, because the mean of its divisors is an integer number (79881179130).

Almost surely, 2^{8181123772800} is an apocalyptic number.

8181123772800 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 8181123772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15337186392960).

8181123772800 is an abundant number, since it is smaller than the sum of its proper divisors (22493249013120).

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

8181123772800 is a wasteful number, since it uses less digits than its factorization.

8181123772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368442 (or 3368425 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 48.

The spelling of 8181123772800 in words is "eight trillion, one hundred eighty-one billion, one hundred twenty-three million, seven hundred seventy-two thousand, eight hundred".