8316125344800 has 1152 divisors, whose sum is σ = 37346004702720. Its totient is φ = 1739037081600.

The previous prime is 8316125344763. The next prime is 8316125344817. The reversal of 8316125344800 is 84435216138.

8316125344800 is a `hidden beast` number, since 8 + 3 + 16 + 125 + 34 + 480 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 222094080 + ... + 222131520.

It is an arithmetic number, because the mean of its divisors is an integer number (32418406860).

Almost surely, 2^{8316125344800} is an apocalyptic number.

8316125344800 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 8316125344800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18673002351360).

8316125344800 is an abundant number, since it is smaller than the sum of its proper divisors (29029879357920).

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

8316125344800 is a wasteful number, since it uses less digits than its factorization.

8316125344800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37603 (or 37584 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 8316125344800 in words is "eight trillion, three hundred sixteen billion, one hundred twenty-five million, three hundred forty-four thousand, eight hundred".