482806891746816 has 1440 divisors, whose sum is σ = 1688002399369440. Its totient is φ = 121538774827008.

The previous prime is 482806891746779. The next prime is 482806891746889. The reversal of 482806891746816 is 618647198608284.

It is a super-2 number, since 2×482806891746816² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 398027115426 + ... + 398027116638.

It is an arithmetic number, because the mean of its divisors is an integer number (1172223888451).

Almost surely, 2^{482806891746816} is an apocalyptic number.

482806891746816 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482806891746816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844001199684720).

482806891746816 is an abundant number, since it is smaller than the sum of its proper divisors (1205195507622624).

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

482806891746816 is a wasteful number, since it uses less digits than its factorization.

482806891746816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 1783627776, while the sum is 78.

The spelling of 482806891746816 in words is "four hundred eighty-two trillion, eight hundred six billion, eight hundred ninety-one million, seven hundred forty-six thousand, eight hundred sixteen".