331406865666000 has 2560 divisors, whose sum is σ = 1317187123200000. Its totient is φ = 80314198272000.

The previous prime is 331406865665977. The next prime is 331406865666011. The reversal of 331406865666000 is 666568604133.

It is a super-2 number, since 2×331406865666000² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 479604725655 + ... + 479604726345.

It is an arithmetic number, because the mean of its divisors is an integer number (514526220000).

Almost surely, 2^{331406865666000} is an apocalyptic number.

331406865666000 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 331406865666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658593561600000).

331406865666000 is an abundant number, since it is smaller than the sum of its proper divisors (985780257534000).

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

331406865666000 is a wasteful number, since it uses less digits than its factorization.

331406865666000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 331406865666000 in words is "three hundred thirty-one trillion, four hundred six billion, eight hundred sixty-five million, six hundred sixty-six thousand".