481312985333202 has 144 divisors (see below), whose sum is σ = 1200733991728128. Its totient is φ = 138169361926080.

The previous prime is 481312985333101. The next prime is 481312985333233. The reversal of 481312985333202 is 202333589213184.

481312985333202 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 1 + 29 + 85 + 333 + 202 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1604745583 + ... + 1605045485.

It is an arithmetic number, because the mean of its divisors is an integer number (8338430498112).

Almost surely, 2^{481312985333202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481312985333202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600366995864064).

481312985333202 is an abundant number, since it is smaller than the sum of its proper divisors (719421006394926).

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

481312985333202 is a wasteful number, since it uses less digits than its factorization.

481312985333202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322413 (or 322391 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 481312985333202 in words is "four hundred eighty-one trillion, three hundred twelve billion, nine hundred eighty-five million, three hundred thirty-three thousand, two hundred two".