1683101096940 has 192 divisors, whose sum is σ = 5133246451200. Its totient is φ = 410424827904.

The previous prime is 1683101096917. The next prime is 1683101097017. The reversal of 1683101096940 is 496901013861.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1683101096940.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192636252 + ... + 192644988.

It is an arithmetic number, because the mean of its divisors is an integer number (26735658600).

Almost surely, 2^{1683101096940} is an apocalyptic number.

1683101096940 is a gapful number since it is divisible by the number (10) 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 1683101096940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566623225600).

1683101096940 is an abundant number, since it is smaller than the sum of its proper divisors (3450145354260).

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

1683101096940 is a wasteful number, since it uses less digits than its factorization.

1683101096940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14624 (or 14622 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 1683101096940 in words is "one trillion, six hundred eighty-three billion, one hundred one million, ninety-six thousand, nine hundred forty".