463558460112 has 240 divisors, whose sum is σ = 1471318954560. Its totient is φ = 140123520000.

The previous prime is 463558460093. The next prime is 463558460137. The reversal of 463558460112 is 211064855364.

463558460112 is a `hidden beast` number, since 4 + 6 + 3 + 5 + 584 + 60 + 1 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17478862 + ... + 17505362.

It is an arithmetic number, because the mean of its divisors is an integer number (6130495644).

Almost surely, 2^463558460112 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 463558460112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735659477280).

463558460112 is an abundant number, since it is smaller than the sum of its proper divisors (1007760494448).

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

463558460112 is a wasteful number, since it uses less digits than its factorization.

463558460112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26944 (or 26926 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 463558460112 in words is "four hundred sixty-three billion, five hundred fifty-eight million, four hundred sixty thousand, one hundred twelve".