481842266112 has 448 divisors, whose sum is σ = 1509382197360. Its totient is φ = 153455689728.

The previous prime is 481842266107. The next prime is 481842266159. The reversal of 481842266112 is 211662248184.

481842266112 is a `hidden beast` number, since 4 + 8 + 1 + 8 + 4 + 2 + 26 + 611 + 2 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 549420618 + ... + 549421494.

Almost surely, 2^481842266112 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 481842266112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754691098680).

481842266112 is an abundant number, since it is smaller than the sum of its proper divisors (1027539931248).

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

481842266112 is an frugal number, since it uses more digits than its factorization.

481842266112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 905 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 481842266112 in words is "four hundred eighty-one billion, eight hundred forty-two million, two hundred sixty-six thousand, one hundred twelve".