331661484000 has 1728 divisors, whose sum is σ = 1508943945600. Its totient is φ = 67516416000.

The previous prime is 331661483999. The next prime is 331661484023. The reversal of 331661484000 is 484166133.

It is a happy number.

331661484000 is a `hidden beast` number, since 3 + 31 + 6 + 614 + 8 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2225915926 + ... + 2225916074.

It is an arithmetic number, because the mean of its divisors is an integer number (873231450).

Almost surely, 2^331661484000 is an apocalyptic number.

331661484000 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 331661484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754471972800).

331661484000 is an abundant number, since it is smaller than the sum of its proper divisors (1177282461600).

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

331661484000 is a wasteful number, since it uses less digits than its factorization.

331661484000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 331661484000 in words is "three hundred thirty-one billion, six hundred sixty-one million, four hundred eighty-four thousand".