461874617856000 has 2912 divisors, whose sum is σ = 1854077968387008. Its totient is φ = 114394241433600.

The previous prime is 461874617855927. The next prime is 461874617856007. The reversal of 461874617856000 is 658716478164.

461874617856000 is a `hidden beast` number, since 4 + 6 + 1 + 8 + 7 + 4 + 6 + 17 + 8 + 5 + 600 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (461874617856007) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 526652927562 + ... + 526652928438.

It is an arithmetic number, because the mean of its divisors is an integer number (636702599034).

Almost surely, 2^{461874617856000} is an apocalyptic number.

461874617856000 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 461874617856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927038984193504).

461874617856000 is an abundant number, since it is smaller than the sum of its proper divisors (1392203350531008).

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

461874617856000 is an frugal number, since it uses more digits than its factorization.

461874617856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 461874617856000 in words is "four hundred sixty-one trillion, eight hundred seventy-four billion, six hundred seventeen million, eight hundred fifty-six thousand".