331660562688000 has 7680 divisors, whose sum is σ = 1651810672512000. Its totient is φ = 65548320768000.

The previous prime is 331660562687969. The next prime is 331660562688001. The reversal of 331660562688000 is 886265066133.

It is a happy number.

331660562688000 is a `hidden beast` number, since 3 + 3 + 1 + 6 + 6 + 0 + 5 + 626 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (331660562688001) 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 639 ways as a sum of consecutive naturals, for example, 1571851007895 + ... + 1571851008105.

It is an arithmetic number, because the mean of its divisors is an integer number (215079514650).

Almost surely, 2^{331660562688000} is an apocalyptic number.

331660562688000 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 331660562688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825905336256000).

331660562688000 is an abundant number, since it is smaller than the sum of its proper divisors (1320150109824000).

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

331660562688000 is a wasteful number, since it uses less digits than its factorization.

331660562688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 331660562688000 in words is "three hundred thirty-one trillion, six hundred sixty billion, five hundred sixty-two million, six hundred eighty-eight thousand".