320451200013312 has 176 divisors, whose sum is σ = 990283224228480. Its totient is φ = 102172846178304.

The previous prime is 320451200013257. The next prime is 320451200013313. The reversal of 320451200013312 is 213310002154023.

320451200013312 is a `hidden beast` number, since 3 + 2 + 0 + 4 + 512 + 0 + 0 + 0 + 133 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320451200013313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251329173 + ... + 252600980.

Almost surely, 2^{320451200013312} is an apocalyptic number.

320451200013312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

320451200013312 is an abundant number, since it is smaller than the sum of its proper divisors (669832024215168).

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

320451200013312 is a wasteful number, since it uses less digits than its factorization.

320451200013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503930205 (or 503930181 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 320451200013312 its reverse (213310002154023), we get a palindrome (533761202167335).

The spelling of 320451200013312 in words is "three hundred twenty trillion, four hundred fifty-one billion, two hundred million, thirteen thousand, three hundred twelve".