466103012616072 has 256 divisors, whose sum is σ = 1402593189984000. Its totient is φ = 142567844511744.

The previous prime is 466103012616049. The next prime is 466103012616121. The reversal of 466103012616072 is 270616210301664.

466103012616072 is a `hidden beast` number, since 4 + 6 + 6 + 1 + 0 + 30 + 1 + 2 + 6 + 1 + 607 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 412905928 + ... + 414033224.

It is an arithmetic number, because the mean of its divisors is an integer number (5478879648375).

Almost surely, 2^{466103012616072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466103012616072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701296594992000).

466103012616072 is an abundant number, since it is smaller than the sum of its proper divisors (936490177367928).

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

466103012616072 is a wasteful number, since it uses less digits than its factorization.

466103012616072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128197 (or 1128187 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 466103012616072 in words is "four hundred sixty-six trillion, one hundred three billion, twelve million, six hundred sixteen thousand, seventy-two".