6324145300000 has 288 divisors, whose sum is σ = 17145478744128. Its totient is φ = 2276880000000.

The previous prime is 6324145299943. The next prime is 6324145300079. The reversal of 6324145300000 is 35414236.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111071539 + ... + 111128461.

It is an arithmetic number, because the mean of its divisors is an integer number (59532912306).

Almost surely, 2^{6324145300000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6324145300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8572739372064).

6324145300000 is an abundant number, since it is smaller than the sum of its proper divisors (10821333444128).

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

6324145300000 is a wasteful number, since it uses less digits than its factorization.

6324145300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57070 (or 57042 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 6324145300000 in words is "six trillion, three hundred twenty-four billion, one hundred forty-five million, three hundred thousand".