461066646216000 has 448 divisors, whose sum is σ = 1663413501394944. Its totient is φ = 111600934144000.

The previous prime is 461066646215927. The next prime is 461066646216079. The reversal of 461066646216000 is 612646660164.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 169458337 + ... + 172157663.

Almost surely, 2^{461066646216000} is an apocalyptic number.

461066646216000 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 461066646216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831706750697472).

461066646216000 is an abundant number, since it is smaller than the sum of its proper divisors (1202346855178944).

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

461066646216000 is a wasteful number, since it uses less digits than its factorization.

461066646216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700015 (or 2699995 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 461066646216000 in words is "four hundred sixty-one trillion, sixty-six billion, six hundred forty-six million, two hundred sixteen thousand".