331663836960 has 144 divisors (see below), whose sum is σ = 1132549629120. Its totient is φ = 88385333760.

The previous prime is 331663836949. The next prime is 331663836967. The reversal of 331663836960 is 69638366133.

It is a happy number.

331663836960 is a `hidden beast` number, since 33 + 166 + 38 + 369 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×331663836960² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331663836897 and 331663836906.

It is not an unprimeable number, because it can be changed into a prime (331663836967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2129421 + ... + 2279859.

It is an arithmetic number, because the mean of its divisors is an integer number (7864927980).

Almost surely, 2^331663836960 is an apocalyptic number.

331663836960 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 331663836960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566274814560).

331663836960 is an abundant number, since it is smaller than the sum of its proper divisors (800885792160).

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

331663836960 is a wasteful number, since it uses less digits than its factorization.

331663836960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151991 (or 151980 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 54.

The spelling of 331663836960 in words is "three hundred thirty-one billion, six hundred sixty-three million, eight hundred thirty-six thousand, nine hundred sixty".