320543279136 has 144 divisors (see below), whose sum is σ = 975116843064. Its totient is φ = 99525722112.

The previous prime is 320543279099. The next prime is 320543279137. The reversal of 320543279136 is 631972345023.

320543279136 is a `hidden beast` number, since 3 + 2 + 0 + 543 + 2 + 79 + 1 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 283045280400 + 37497998736 = 532020^2 + 193644^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×320543279136² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320543279091 and 320543279100.

It is not an unprimeable number, because it can be changed into a prime (320543279137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137436 + ... + 812388.

Almost surely, 2^320543279136 is an apocalyptic number.

320543279136 is a gapful number since it is divisible by the number (36) 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 320543279136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487558421532).

320543279136 is an abundant number, since it is smaller than the sum of its proper divisors (654573563928).

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

320543279136 is a wasteful number, since it uses less digits than its factorization.

320543279136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675083 (or 675072 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 320543279136 in words is "three hundred twenty billion, five hundred forty-three million, two hundred seventy-nine thousand, one hundred thirty-six".