331011144249048 has 160 divisors (see below), whose sum is σ = 935914168949760. Its totient is φ = 109293768944640.

The previous prime is 331011144249047. The next prime is 331011144249059. The reversal of 331011144249048 is 840942441110133.

331011144249048 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 1 + 114 + 4 + 2 + 490 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 331011144248994 and 331011144249012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331011144249047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 118486953 + ... + 121248423.

It is an arithmetic number, because the mean of its divisors is an integer number (5849463555936).

Almost surely, 2^{331011144249048} 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 331011144249048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467957084474880).

331011144249048 is an abundant number, since it is smaller than the sum of its proper divisors (604903024700712).

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

331011144249048 is a wasteful number, since it uses less digits than its factorization.

331011144249048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763239 (or 2763226 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 331011144249048 in words is "three hundred thirty-one trillion, eleven billion, one hundred forty-four million, two hundred forty-nine thousand, forty-eight".