331845840144 has 400 divisors, whose sum is σ = 1193195380608. Its totient is φ = 86698543104.

The previous prime is 331845840143. The next prime is 331845840149. The reversal of 331845840144 is 441048548133.

331845840144 is a `hidden beast` number, since 3 + 3 + 18 + 458 + 40 + 144 = 666.

It is a super-2 number, since 2×331845840144² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 331845840144.

It is not an unprimeable number, because it can be changed into a prime (331845840143) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 12606004 + ... + 12632300.

Almost surely, 2^331845840144 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 331845840144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596597690304).

331845840144 is an abundant number, since it is smaller than the sum of its proper divisors (861349540464).

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

331845840144 is a wasteful number, since it uses less digits than its factorization.

331845840144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26444 (or 26429 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 331845840144 in words is "three hundred thirty-one billion, eight hundred forty-five million, eight hundred forty thousand, one hundred forty-four".