1981838071296 has 320 divisors, whose sum is σ = 6012450892800. Its totient is φ = 644213219328.

The previous prime is 1981838071211. The next prime is 1981838071303. The reversal of 1981838071296 is 6921708381891.

1981838071296 is a `hidden beast` number, since 1 + 98 + 18 + 380 + 71 + 2 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427394290 + ... + 427398926.

It is an arithmetic number, because the mean of its divisors is an integer number (18788909040).

Almost surely, 2^{1981838071296} is an apocalyptic number.

1981838071296 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 1981838071296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006225446400).

1981838071296 is an abundant number, since it is smaller than the sum of its proper divisors (4030612821504).

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

1981838071296 is an equidigital number, since it uses as much as digits as its factorization.

1981838071296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5426 (or 5404 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 1981838071296 in words is "one trillion, nine hundred eighty-one billion, eight hundred thirty-eight million, seventy-one thousand, two hundred ninety-six".