331661304414720 has 2880 divisors, whose sum is σ = 1436277292369920. Its totient is φ = 73085207150592.

The previous prime is 331661304414673. The next prime is 331661304414721. The reversal of 331661304414720 is 27414403166133.

It is a happy number.

331661304414720 is a `hidden beast` number, since 3 + 3 + 1 + 6 + 6 + 130 + 4 + 41 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (331661304414721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 103547080639 + ... + 103547083841.

It is an arithmetic number, because the mean of its divisors is an integer number (498707393184).

Almost surely, 2^{331661304414720} is an apocalyptic number.

331661304414720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331661304414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718138646184960).

331661304414720 is an abundant number, since it is smaller than the sum of its proper divisors (1104615987955200).

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

331661304414720 is an equidigital number, since it uses as much as digits as its factorization.

331661304414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 331661304414720 in words is "three hundred thirty-one trillion, six hundred sixty-one billion, three hundred four million, four hundred fourteen thousand, seven hundred twenty".