8245384200000 has 672 divisors, whose sum is σ = 32080527964800. Its totient is φ = 2069406720000.

The previous prime is 8245384199981. The next prime is 8245384200013. The reversal of 8245384200000 is 24835428.

8245384200000 is a `hidden beast` number, since 82 + 4 + 538 + 42 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91755091 + ... + 91844909.

It is an arithmetic number, because the mean of its divisors is an integer number (47738880900).

Almost surely, 2^{8245384200000} is an apocalyptic number.

8245384200000 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 8245384200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16040263982400).

8245384200000 is an abundant number, since it is smaller than the sum of its proper divisors (23835143764800).

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

8245384200000 is an equidigital number, since it uses as much as digits as its factorization.

8245384200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89882 (or 89846 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 8245384200000 in words is "eight trillion, two hundred forty-five billion, three hundred eighty-four million, two hundred thousand".