1683617782816 has 48 divisors (see below), whose sum is σ = 3413471241600. Its totient is φ = 817065669888.

The previous prime is 1683617782813. The next prime is 1683617782853. The reversal of 1683617782816 is 6182877163861.

It is a super-2 number, since 2×1683617782816² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1683617782811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5494815 + ... + 5793118.

It is an arithmetic number, because the mean of its divisors is an integer number (71113984200).

Almost surely, 2^{1683617782816} is an apocalyptic number.

1683617782816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1683617782816 is an abundant number, since it is smaller than the sum of its proper divisors (1729853458784).

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

1683617782816 is a wasteful number, since it uses less digits than its factorization.

1683617782816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11288081 (or 11288073 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 64.

The spelling of 1683617782816 in words is "one trillion, six hundred eighty-three billion, six hundred seventeen million, seven hundred eighty-two thousand, eight hundred sixteen".