481488804864 has 264 divisors, whose sum is σ = 1416015164928. Its totient is φ = 157553786880.

The previous prime is 481488804809. The next prime is 481488804887. The reversal of 481488804864 is 468408884184.

481488804864 is a `hidden beast` number, since 4 + 8 + 148 + 8 + 8 + 0 + 486 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113529784 + ... + 113534024.

Almost surely, 2^481488804864 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 481488804864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708007582464).

481488804864 is an abundant number, since it is smaller than the sum of its proper divisors (934526360064).

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

481488804864 is a wasteful number, since it uses less digits than its factorization.

481488804864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4491 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 50331648, while the sum is 63.

The spelling of 481488804864 in words is "four hundred eighty-one billion, four hundred eighty-eight million, eight hundred four thousand, eight hundred sixty-four".