331668114480 has 280 divisors, whose sum is σ = 1157505624720. Its totient is φ = 88342202880.

The previous prime is 331668114461. The next prime is 331668114497. The reversal of 331668114480 is 84411866133.

331668114480 is a `hidden beast` number, since 3 + 3 + 166 + 8 + 1 + 1 + 4 + 480 = 666.

It is a super-2 number, since 2×331668114480² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 59425290 + ... + 59430870.

Almost surely, 2^331668114480 is an apocalyptic number.

331668114480 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 331668114480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578752812360).

331668114480 is an abundant number, since it is smaller than the sum of its proper divisors (825837510240).

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

331668114480 is a wasteful number, since it uses less digits than its factorization.

331668114480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6631 (or 6610 counting only the distinct ones).

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

The spelling of 331668114480 in words is "three hundred thirty-one billion, six hundred sixty-eight million, one hundred fourteen thousand, four hundred eighty".