481124494656 has 672 divisors, whose sum is σ = 1630923840000. Its totient is φ = 139408128000.

The previous prime is 481124494651. The next prime is 481124494657. The reversal of 481124494656 is 656494421184.

481124494656 is a `hidden beast` number, since 4 + 81 + 1 + 24 + 494 + 6 + 56 = 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 (481124494651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 964177095 + ... + 964177593.

It is an arithmetic number, because the mean of its divisors is an integer number (2426970000).

Almost surely, 2^481124494656 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 481124494656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815461920000).

481124494656 is an abundant number, since it is smaller than the sum of its proper divisors (1149799345344).

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

481124494656 is a wasteful number, since it uses less digits than its factorization.

481124494656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 787 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 481124494656 in words is "four hundred eighty-one billion, one hundred twenty-four million, four hundred ninety-four thousand, six hundred fifty-six".