481590529491456 has 960 divisors, whose sum is σ = 1898068840462080. Its totient is φ = 113670598164480.

The previous prime is 481590529491419. The next prime is 481590529491469. The reversal of 481590529491456 is 654194925095184.

481590529491456 is a `hidden beast` number, since 4 + 8 + 1 + 5 + 9 + 0 + 529 + 4 + 91 + 4 + 5 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173547720 + ... + 176300856.

It is an arithmetic number, because the mean of its divisors is an integer number (1977155042148).

Almost surely, 2^{481590529491456} 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 481590529491456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949034420231040).

481590529491456 is an abundant number, since it is smaller than the sum of its proper divisors (1416478310970624).

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

481590529491456 is a wasteful number, since it uses less digits than its factorization.

481590529491456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753225 (or 2753206 counting only the distinct ones).

The product of its (nonzero) digits is 559872000, while the sum is 72.

The spelling of 481590529491456 in words is "four hundred eighty-one trillion, five hundred ninety billion, five hundred twenty-nine million, four hundred ninety-one thousand, four hundred fifty-six".