481205225088 has 512 divisors, whose sum is σ = 1687815052800. Its totient is φ = 133751181312.

The previous prime is 481205225063. The next prime is 481205225093. The reversal of 481205225088 is 880522502184.

481205225088 is a `hidden beast` number, since 48 + 1 + 2 + 0 + 522 + 5 + 0 + 88 = 666.

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, 72500106 + ... + 72506742.

It is an arithmetic number, because the mean of its divisors is an integer number (3296513775).

Almost surely, 2^481205225088 is an apocalyptic number.

481205225088 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 481205225088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843907526400).

481205225088 is an abundant number, since it is smaller than the sum of its proper divisors (1206609827712).

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

481205225088 is an frugal number, since it uses more digits than its factorization.

481205225088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6716 (or 6686 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 481205225088 in words is "four hundred eighty-one billion, two hundred five million, two hundred twenty-five thousand, eighty-eight".