320113617504 has 192 divisors, whose sum is σ = 893478491136. Its totient is φ = 100215926784.

The previous prime is 320113617493. The next prime is 320113617521. The reversal of 320113617504 is 405716311023.

It is a super-2 number, since 2×320113617504² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12173779 + ... + 12200045.

It is an arithmetic number, because the mean of its divisors is an integer number (4653533808).

Almost surely, 2^320113617504 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 320113617504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446739245568).

320113617504 is an abundant number, since it is smaller than the sum of its proper divisors (573364873632).

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

320113617504 is a wasteful number, since it uses less digits than its factorization.

320113617504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26437 (or 26429 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

Adding to 320113617504 its reverse (405716311023), we get a palindrome (725829928527).

The spelling of 320113617504 in words is "three hundred twenty billion, one hundred thirteen million, six hundred seventeen thousand, five hundred four".