481480556544 has 405 divisors, whose sum is σ = 1517037358473. Its totient is φ = 147082051584.

The previous prime is 481480556539. The next prime is 481480556597. The reversal of 481480556544 is 445655084184.

The square root of 481480556544 is 693888.

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

481480556544 is a `hidden beast` number, since 4 + 8 + 1 + 4 + 80 + 556 + 5 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71224934400 + 410255622144 = 266880^2 + 640512^2 .

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, 3463888827 + ... + 3463888965.

Almost surely, 2^481480556544 is an apocalyptic number.

481480556544 is the 693888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481480556544

481480556544 is an abundant number, since it is smaller than the sum of its proper divisors (1035556801929).

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

481480556544 is an equidigital number, since it uses as much as digits as its factorization.

481480556544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 481480556544 in words is "four hundred eighty-one billion, four hundred eighty million, five hundred fifty-six thousand, five hundred forty-four".