481915241794624 has 189 divisors, whose sum is σ = 1055834045995071. Its totient is φ = 218078566717440.

The previous prime is 481915241794559. The next prime is 481915241794631. The reversal of 481915241794624 is 426497142519184.

The square root of 481915241794624 is 21952568.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 209781389404224 + 272133852390400 = 14483832^2 + 16496480^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 481915241794624.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 604661532594 + ... + 604661533390.

Almost surely, 2^{481915241794624} is an apocalyptic number.

481915241794624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

481915241794624 is the 21952568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481915241794624

481915241794624 is an abundant number, since it is smaller than the sum of its proper divisors (573918804200447).

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

481915241794624 is an frugal number, since it uses more digits than its factorization.

481915241794624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 1123 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 67.

The spelling of 481915241794624 in words is "four hundred eighty-one trillion, nine hundred fifteen billion, two hundred forty-one million, seven hundred ninety-four thousand, six hundred twenty-four".