1683985754976 has 144 divisors (see below), whose sum is σ = 5147502345216. Its totient is φ = 480639930624.

The previous prime is 1683985754959. The next prime is 1683985755007. The reversal of 1683985754976 is 6794575893861.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4363665 + ... + 4733871.

It is an arithmetic number, because the mean of its divisors is an integer number (35746544064).

Almost surely, 2^{1683985754976} is an apocalyptic number.

1683985754976 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 1683985754976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573751172608).

1683985754976 is an abundant number, since it is smaller than the sum of its proper divisors (3463516590240).

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

1683985754976 is a wasteful number, since it uses less digits than its factorization.

1683985754976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371201 (or 371186 counting only the distinct ones).

The product of its digits is 2743372800, while the sum is 78.

The spelling of 1683985754976 in words is "one trillion, six hundred eighty-three billion, nine hundred eighty-five million, seven hundred fifty-four thousand, nine hundred seventy-six".