1683550318968 has 192 divisors, whose sum is σ = 5518833428160. Its totient is φ = 452611473408.

The previous prime is 1683550318943. The next prime is 1683550318969. The reversal of 1683550318968 is 8698130553861.

1683550318968 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 550 + 3 + 18 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683550318969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39880080 + ... + 39922272.

It is an arithmetic number, because the mean of its divisors is an integer number (28743924105).

Almost surely, 2^{1683550318968} is an apocalyptic number.

1683550318968 is a gapful number since it is divisible by the number (18) 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 1683550318968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759416714080).

1683550318968 is an abundant number, since it is smaller than the sum of its proper divisors (3835283109192).

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

1683550318968 is a wasteful number, since it uses less digits than its factorization.

1683550318968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46886 (or 46879 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 1683550318968 in words is "one trillion, six hundred eighty-three billion, five hundred fifty million, three hundred eighteen thousand, nine hundred sixty-eight".