2083916129868 has 180 divisors, whose sum is σ = 5792088954960. Its totient is φ = 652554983808.

The previous prime is 2083916129857. The next prime is 2083916129923. The reversal of 2083916129868 is 8689216193802.

2083916129868 is a `hidden beast` number, since 2 + 0 + 8 + 3 + 9 + 1 + 612 + 9 + 8 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 59 ways as a sum of consecutive naturals, for example, 12782121 + ... + 12944127.

It is an arithmetic number, because the mean of its divisors is an integer number (32178271972).

Almost surely, 2^{2083916129868} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2083916129868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896044477480).

2083916129868 is an abundant number, since it is smaller than the sum of its proper divisors (3708172825092).

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

2083916129868 is a wasteful number, since it uses less digits than its factorization.

2083916129868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162126 (or 162078 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 2083916129868 in words is "two trillion, eighty-three billion, nine hundred sixteen million, one hundred twenty-nine thousand, eight hundred sixty-eight".