481702806144 has 320 divisors, whose sum is σ = 1640719808640. Its totient is φ = 137428752384.

The previous prime is 481702806127. The next prime is 481702806181. The reversal of 481702806144 is 441608207184.

481702806144 is a `hidden beast` number, since 4 + 8 + 1 + 7 + 0 + 28 + 0 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 481702806144.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53919502 + ... + 53928434.

It is an arithmetic number, because the mean of its divisors is an integer number (5127249402).

Almost surely, 2^481702806144 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 481702806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820359904320).

481702806144 is an abundant number, since it is smaller than the sum of its proper divisors (1159017002496).

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

481702806144 is an equidigital number, since it uses as much as digits as its factorization.

481702806144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9709 (or 9688 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 481702806144 in words is "four hundred eighty-one billion, seven hundred two million, eight hundred six thousand, one hundred forty-four".