482598038055744 has 1344 divisors, whose sum is σ = 1796692803010560. Its totient is φ = 126644300513280.

The previous prime is 482598038055739. The next prime is 482598038055781. The reversal of 482598038055744 is 447550830895284.

482598038055744 is a `hidden beast` number, since 4 + 8 + 2 + 59 + 80 + 380 + 55 + 74 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1501804849 + ... + 1502126159.

It is an arithmetic number, because the mean of its divisors is an integer number (1336825002240).

Almost surely, 2^{482598038055744} 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 482598038055744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898346401505280).

482598038055744 is an abundant number, since it is smaller than the sum of its proper divisors (1314094764954816).

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

482598038055744 is a wasteful number, since it uses less digits than its factorization.

482598038055744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321410 (or 321388 counting only the distinct ones).

The product of its (nonzero) digits is 1548288000, while the sum is 72.

The spelling of 482598038055744 in words is "four hundred eighty-two trillion, five hundred ninety-eight billion, thirty-eight million, fifty-five thousand, seven hundred forty-four".