461667330300000 has 576 divisors, whose sum is σ = 1664343237715200. Its totient is φ = 111114067200000.

The previous prime is 461667330299971. The next prime is 461667330300031. The reversal of 461667330300000 is 3033766164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 458196766 + ... + 459203234.

It is an arithmetic number, because the mean of its divisors is an integer number (2889484787700).

Almost surely, 2^{461667330300000} is an apocalyptic number.

461667330300000 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 461667330300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832171618857600).

461667330300000 is an abundant number, since it is smaller than the sum of its proper divisors (1202675907415200).

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

461667330300000 is a wasteful number, since it uses less digits than its factorization.

461667330300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006657 (or 1006629 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 39.

The spelling of 461667330300000 in words is "four hundred sixty-one trillion, six hundred sixty-seven billion, three hundred thirty million, three hundred thousand".