1983851022168 has 256 divisors, whose sum is σ = 5669375040000. Its totient is φ = 650626131456.

The previous prime is 1983851022157. The next prime is 1983851022191. The reversal of 1983851022168 is 8612201583891.

1983851022168 is a `hidden beast` number, since 1 + 98 + 3 + 8 + 510 + 22 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 274806063 + ... + 274813281.

It is an arithmetic number, because the mean of its divisors is an integer number (22145996250).

Almost surely, 2^{1983851022168} is an apocalyptic number.

1983851022168 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 1983851022168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834687520000).

1983851022168 is an abundant number, since it is smaller than the sum of its proper divisors (3685524017832).

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

1983851022168 is a wasteful number, since it uses less digits than its factorization.

1983851022168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7498 (or 7476 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 1983851022168 in words is "one trillion, nine hundred eighty-three billion, eight hundred fifty-one million, twenty-two thousand, one hundred sixty-eight".