331729921600 has 945 divisors, whose sum is σ = 1109530832115. Its totient is φ = 97314201600.

The previous prime is 331729921571. The next prime is 331729921639. The reversal of 331729921600 is 6129927133.

The square root of 331729921600 is 575960.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7759495744 + 323970425856 = 88088^2 + 569184^2 .

It is a super-2 number, since 2×331729921600² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 19513524792 + ... + 19513524808.

Almost surely, 2^331729921600 is an apocalyptic number.

331729921600 is the 575960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331729921600

331729921600 is an abundant number, since it is smaller than the sum of its proper divisors (777800910515).

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

331729921600 is an equidigital number, since it uses as much as digits as its factorization.

331729921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 43.

The spelling of 331729921600 in words is "three hundred thirty-one billion, seven hundred twenty-nine million, nine hundred twenty-one thousand, six hundred".