461018460006 has 360 divisors, whose sum is σ = 1215139009392. Its totient is φ = 129844814400.

The previous prime is 461018459983. The next prime is 461018460059. The reversal of 461018460006 is 600064810164.

461018460006 is a `hidden beast` number, since 46 + 1 + 0 + 1 + 8 + 4 + 600 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 730615311 + ... + 730615941.

Almost surely, 2^461018460006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461018460006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607569504696).

461018460006 is an abundant number, since it is smaller than the sum of its proper divisors (754120549386).

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

461018460006 is a wasteful number, since it uses less digits than its factorization.

461018460006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 461018460006 in words is "four hundred sixty-one billion, eighteen million, four hundred sixty thousand, six".