320861124288 has 280 divisors, whose sum is σ = 990559278720. Its totient is φ = 102581821440.

The previous prime is 320861124263. The next prime is 320861124299. The reversal of 320861124288 is 882421168023.

320861124288 is a `hidden beast` number, since 3 + 2 + 0 + 8 + 611 + 2 + 4 + 28 + 8 = 666.

It is a super-2 number, since 2×320861124288² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18150718 + ... + 18168386.

Almost surely, 2^320861124288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320861124288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495279639360).

320861124288 is an abundant number, since it is smaller than the sum of its proper divisors (669698154432).

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

320861124288 is a wasteful number, since it uses less digits than its factorization.

320861124288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17837 (or 17818 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 320861124288 in words is "three hundred twenty billion, eight hundred sixty-one million, one hundred twenty-four thousand, two hundred eighty-eight".