320484781274112 has 1320 divisors, whose sum is σ = 1203939562157640. Its totient is φ = 84169394749440.

The previous prime is 320484781274059. The next prime is 320484781274129. The reversal of 320484781274112 is 211472187484023.

320484781274112 is a `hidden beast` number, since 3 + 2 + 0 + 4 + 8 + 478 + 127 + 41 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11870395278336 + 308614385995776 = 3445344^2 + 17567424^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12733301464 + ... + 12733326632.

It is an arithmetic number, because the mean of its divisors is an integer number (912075425877).

Almost surely, 2^{320484781274112} is an apocalyptic number.

320484781274112 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 320484781274112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601969781078820).

320484781274112 is an abundant number, since it is smaller than the sum of its proper divisors (883454780883528).

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

320484781274112 is a wasteful number, since it uses less digits than its factorization.

320484781274112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25469 (or 25435 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 320484781274112 in words is "three hundred twenty trillion, four hundred eighty-four billion, seven hundred eighty-one million, two hundred seventy-four thousand, one hundred twelve".