466376166366000 has 320 divisors, whose sum is σ = 1643628196634112. Its totient is φ = 112830614400000.

The previous prime is 466376166365971. The next prime is 466376166366001. The reversal of 466376166366000 is 663661673664.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (466376166366001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25210170 + ... + 39601830.

Almost surely, 2^{466376166366000} is an apocalyptic number.

466376166366000 is a gapful number since it is divisible by the number (40) 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 466376166366000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821814098317056).

466376166366000 is an abundant number, since it is smaller than the sum of its proper divisors (1177252030268112).

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

466376166366000 is a wasteful number, since it uses less digits than its factorization.

466376166366000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14392189 (or 14392173 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 60.

The spelling of 466376166366000 in words is "four hundred sixty-six trillion, three hundred seventy-six billion, one hundred sixty-six million, three hundred sixty-six thousand".