331776000000 has 665 divisors, whose sum is σ = 1239021777037. Its totient is φ = 88473600000.

The previous prime is 331775999977. The next prime is 331776000007. The reversal of 331776000000 is 677133.

The square root of 331776000000 is 576000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 290667626496 + 41108373504 = 539136^2 + 202752^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=4800.

It is a super-2 number, since 2×331776000000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331776000007) by changing a digit.

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 34 ways as a sum of consecutive naturals, for example, 66355199998 + ... + 66355200002.

Almost surely, 2^331776000000 is an apocalyptic number.

331776000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331776000000 is the 576000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331776000000

331776000000 is an abundant number, since it is smaller than the sum of its proper divisors (907245777037).

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

331776000000 is an frugal number, since it uses more digits than its factorization.

331776000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

Adding to 331776000000 its reverse (677133), we get a palindrome (331776677133).

The spelling of 331776000000 in words is "three hundred thirty-one billion, seven hundred seventy-six million", and thus it is an aban number.