3083416616448 has 800 divisors, whose sum is σ = 11147243405760. Its totient is φ = 829758504960.

The previous prime is 3083416616417. The next prime is 3083416616461. The reversal of 3083416616448 is 8446166143803.

3083416616448 is a `hidden beast` number, since 3 + 0 + 8 + 3 + 4 + 16 + 616 + 4 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3083416616394 and 3083416616403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 345166990 + ... + 345175922.

Almost surely, 2^{3083416616448} 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 3083416616448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573621702880).

3083416616448 is an abundant number, since it is smaller than the sum of its proper divisors (8063826789312).

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

3083416616448 is an equidigital number, since it uses as much as digits as its factorization.

3083416616448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9040 (or 9015 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 3083416616448 in words is "three trillion, eighty-three billion, four hundred sixteen million, six hundred sixteen thousand, four hundred forty-eight".