481630448016 has 135 divisors (see below), whose sum is σ = 1360433927307. Its totient is φ = 159063883200.

The previous prime is 481630448011. The next prime is 481630448021. The reversal of 481630448016 is 610844036184.

The square root of 481630448016 is 693996.

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

481630448016 is a `hidden beast` number, since 4 + 8 + 1 + 630 + 4 + 4 + 8 + 0 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (481630448011) and next prime (481630448021).

It is not an unprimeable number, because it can be changed into a prime (481630448011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1257520561 + ... + 1257520943.

Almost surely, 2^481630448016 is an apocalyptic number.

481630448016 is the 693996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481630448016

481630448016 is an abundant number, since it is smaller than the sum of its proper divisors (878803479291).

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

481630448016 is an equidigital number, since it uses as much as digits as its factorization.

481630448016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 481630448016 in words is "four hundred eighty-one billion, six hundred thirty million, four hundred forty-eight thousand, sixteen".