8181544800 has 576 divisors, whose sum is σ = 32337930240. Its totient is φ = 1769472000.

The previous prime is 8181544771. The next prime is 8181544801. The reversal of 8181544800 is 84451818.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8181544801) 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, 10638816 + ... + 10639584.

It is an arithmetic number, because the mean of its divisors is an integer number (56142240).

Almost surely, 2^8181544800 is an apocalyptic number.

8181544800 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 8181544800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16168965120).

8181544800 is an abundant number, since it is smaller than the sum of its proper divisors (24156385440).

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

8181544800 is a wasteful number, since it uses less digits than its factorization.

8181544800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The square root of 8181544800 is about 90451.8921858465. The cubic root of 8181544800 is about 2015.0157153448.

The spelling of 8181544800 in words is "eight billion, one hundred eighty-one million, five hundred forty-four thousand, eight hundred".