331720706304 has 405 divisors, whose sum is σ = 1050931455119. Its totient is φ = 100630333440.

The previous prime is 331720706299. The next prime is 331720706323. The reversal of 331720706304 is 403607027133.

The square root of 331720706304 is 575952.

It is a perfect power (a square), and thus also a powerful number.

331720706304 is a `hidden beast` number, since 3 + 3 + 17 + 2 + 0 + 7 + 0 + 630 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 164472424704 + 167248281600 = 405552^2 + 408960^2 .

It is a super-2 number, since 2×331720706304² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4672122589 + ... + 4672122659.

Almost surely, 2^331720706304 is an apocalyptic number.

331720706304 is the 575952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331720706304

331720706304 is an abundant number, since it is smaller than the sum of its proper divisors (719210748815).

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

331720706304 is an frugal number, since it uses more digits than its factorization.

331720706304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

Multiplying 331720706304 by its sum of digits (36), we get a square (11941945426944 = 3455712²).

331720706304 divided by its sum of digits (36) gives a square (9214464064 = 95992²).

The spelling of 331720706304 in words is "three hundred thirty-one billion, seven hundred twenty million, seven hundred six thousand, three hundred four".