481748275008 has 2240 divisors, whose sum is σ = 2093743669248. Its totient is φ = 105345515520.

The previous prime is 481748274983. The next prime is 481748275009. The reversal of 481748275008 is 800572847184.

481748275008 is a `hidden beast` number, since 48 + 1 + 74 + 8 + 27 + 500 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481748275009) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3793293441 + ... + 3793293567.

Almost surely, 2^481748275008 is an apocalyptic number.

481748275008 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 481748275008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046871834624).

481748275008 is an abundant number, since it is smaller than the sum of its proper divisors (1611995394240).

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

481748275008 is a wasteful number, since it uses less digits than its factorization.

481748275008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 481748275008 in words is "four hundred eighty-one billion, seven hundred forty-eight million, two hundred seventy-five thousand, eight".