1685016612416 has 224 divisors, whose sum is σ = 3629159233920. Its totient is φ = 773767987200.

The previous prime is 1685016612413. The next prime is 1685016612431. The reversal of 1685016612416 is 6142166105861.

It is not an unprimeable number, because it can be changed into a prime (1685016612413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2438518631 + ... + 2438519321.

Almost surely, 2^{1685016612416} is an apocalyptic number.

1685016612416 is a gapful number since it is divisible by the number (16) 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 1685016612416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814579616960).

1685016612416 is an abundant number, since it is smaller than the sum of its proper divisors (1944142621504).

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

1685016612416 is a wasteful number, since it uses less digits than its factorization.

1685016612416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The spelling of 1685016612416 in words is "one trillion, six hundred eighty-five billion, sixteen million, six hundred twelve thousand, four hundred sixteen".