320451712244352 has 1024 divisors, whose sum is σ = 1148884902144000. Its totient is φ = 86856700723200.

The previous prime is 320451712244341. The next prime is 320451712244359. The reversal of 320451712244352 is 253442217154023.

320451712244352 is a `hidden beast` number, since 3 + 2 + 0 + 4 + 5 + 1 + 71 + 224 + 4 + 352 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 320451712244298 and 320451712244307.

It is not an unprimeable number, because it can be changed into a prime (320451712244359) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1204341727 + ... + 1204607777.

It is an arithmetic number, because the mean of its divisors is an integer number (1121957912250).

Almost surely, 2^{320451712244352} is an apocalyptic number.

320451712244352 is a gapful number since it is divisible by the number (32) 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 320451712244352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574442451072000).

320451712244352 is an abundant number, since it is smaller than the sum of its proper divisors (828433189899648).

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

320451712244352 is a wasteful number, since it uses less digits than its factorization.

320451712244352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266206 (or 266188 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

Adding to 320451712244352 its reverse (253442217154023), we get a palindrome (573893929398375).

The spelling of 320451712244352 in words is "three hundred twenty trillion, four hundred fifty-one billion, seven hundred twelve million, two hundred forty-four thousand, three hundred fifty-two".