481585838782032 has 120 divisors (see below), whose sum is σ = 1354351509018144. Its totient is φ = 159746491736832.

The previous prime is 481585838782031. The next prime is 481585838782043. The reversal of 481585838782032 is 230287838585184.

481585838782032 is a `hidden beast` number, since 4 + 8 + 1 + 5 + 8 + 583 + 8 + 7 + 8 + 2 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481585838782031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20461243 + ... + 37173029.

Almost surely, 2^{481585838782032} 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 481585838782032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677175754509072).

481585838782032 is an abundant number, since it is smaller than the sum of its proper divisors (872765670236112).

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

481585838782032 is a wasteful number, since it uses less digits than its factorization.

481585838782032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16712777 (or 16712768 counting only the distinct ones).

The product of its (nonzero) digits is 825753600, while the sum is 72.

The spelling of 481585838782032 in words is "four hundred eighty-one trillion, five hundred eighty-five billion, eight hundred thirty-eight million, seven hundred eighty-two thousand, thirty-two".