331077104448 has 112 divisors (see below), whose sum is σ = 897773647680. Its totient is φ = 107615334400.

The previous prime is 331077104443. The next prime is 331077104453. The reversal of 331077104448 is 844401770133.

It is a happy number.

It is a Cunningham number, because it is equal to 575393²-1.

It is an interprime number because it is at equal distance from previous prime (331077104443) and next prime (331077104453).

It is a super-2 number, since 2×331077104448² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331077104443) 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 15 ways as a sum of consecutive naturals, for example, 18403618 + ... + 18421598.

It is an arithmetic number, because the mean of its divisors is an integer number (8015836140).

Almost surely, 2^331077104448 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 331077104448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448886823840).

331077104448 is an abundant number, since it is smaller than the sum of its proper divisors (566696543232).

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

331077104448 is a wasteful number, since it uses less digits than its factorization.

331077104448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20376 (or 20366 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 331077104448 in words is "three hundred thirty-one billion, seventy-seven million, one hundred four thousand, four hundred forty-eight".