481375252512 has 960 divisors, whose sum is σ = 1839894110208. Its totient is φ = 120811046400.

The previous prime is 481375252489. The next prime is 481375252541. The reversal of 481375252512 is 215252573184.

481375252512 is a `hidden beast` number, since 4 + 8 + 1 + 37 + 52 + 52 + 512 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 748639263 + ... + 748639905.

Almost surely, 2^481375252512 is an apocalyptic number.

481375252512 is a gapful number since it is divisible by the number (42) 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 481375252512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919947055104).

481375252512 is an abundant number, since it is smaller than the sum of its proper divisors (1358518857696).

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

481375252512 is a wasteful number, since it uses less digits than its factorization.

481375252512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 697 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The spelling of 481375252512 in words is "four hundred eighty-one billion, three hundred seventy-five million, two hundred fifty-two thousand, five hundred twelve".