481456571712 has 336 divisors, whose sum is σ = 1366357196160. Its totient is φ = 149493288960.

The previous prime is 481456571711. The next prime is 481456571741. The reversal of 481456571712 is 217175654184.

It is a super-2 number, since 2×481456571712² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481456571711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 744136573 + ... + 744137219.

Almost surely, 2^481456571712 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 481456571712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683178598080).

481456571712 is an abundant number, since it is smaller than the sum of its proper divisors (884900624448).

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

481456571712 is a wasteful number, since it uses less digits than its factorization.

481456571712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 829 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 51.

The spelling of 481456571712 in words is "four hundred eighty-one billion, four hundred fifty-six million, five hundred seventy-one thousand, seven hundred twelve".