320144352000 has 576 divisors, whose sum is σ = 1168021790208. Its totient is φ = 77076480000.

The previous prime is 320144351957. The next prime is 320144352013. The reversal of 320144352000 is 253441023.

It is a super-2 number, since 2×320144352000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165791035 + ... + 165792965.

It is an arithmetic number, because the mean of its divisors is an integer number (2027815608).

Almost surely, 2^320144352000 is an apocalyptic number.

320144352000 is a gapful number since it is divisible by the number (30) 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 320144352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584010895104).

320144352000 is an abundant number, since it is smaller than the sum of its proper divisors (847877438208).

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

320144352000 is a wasteful number, since it uses less digits than its factorization.

320144352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 320144352000 its reverse (253441023), we get a palindrome (320397793023).

The spelling of 320144352000 in words is "three hundred twenty billion, one hundred forty-four million, three hundred fifty-two thousand".