481584846304848 has 320 divisors, whose sum is σ = 1512751315219200. Its totient is φ = 129998671380480.

The previous prime is 481584846304729. The next prime is 481584846304921. The reversal of 481584846304848 is 848403648485184.

It is a self number, because there is not a number n which added to its sum of digits gives 481584846304848.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 396909088 + ... + 398120576.

It is an arithmetic number, because the mean of its divisors is an integer number (4727347860060).

Almost surely, 2^{481584846304848} is an apocalyptic number.

481584846304848 is a gapful number since it is divisible by the number (48) 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 481584846304848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756375657609600).

481584846304848 is an abundant number, since it is smaller than the sum of its proper divisors (1031166468914352).

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

481584846304848 is a wasteful number, since it uses less digits than its factorization.

481584846304848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213550 (or 1213544 counting only the distinct ones).

The product of its (nonzero) digits is 3019898880, while the sum is 75.

The spelling of 481584846304848 in words is "four hundred eighty-one trillion, five hundred eighty-four billion, eight hundred forty-six million, three hundred four thousand, eight hundred forty-eight".