481312605312 has 384 divisors, whose sum is σ = 1756073779200. Its totient is φ = 122896005120.

The previous prime is 481312605251. The next prime is 481312605359. The reversal of 481312605312 is 213506213184.

481312605312 is a `hidden beast` number, since 4 + 8 + 1 + 3 + 12 + 605 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5187553 + ... + 5279519.

It is an arithmetic number, because the mean of its divisors is an integer number (4573108800).

Almost surely, 2^481312605312 is an apocalyptic number.

481312605312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481312605312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878036889600).

481312605312 is an abundant number, since it is smaller than the sum of its proper divisors (1274761173888).

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

481312605312 is a wasteful number, since it uses less digits than its factorization.

481312605312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92064 (or 92049 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 481312605312 its reverse (213506213184), we get a palindrome (694818818496).

The spelling of 481312605312 in words is "four hundred eighty-one billion, three hundred twelve million, six hundred five thousand, three hundred twelve".