1981282670208 has 192 divisors, whose sum is σ = 6119419854600. Its totient is φ = 613063655424.

The previous prime is 1981282670189. The next prime is 1981282670219. The reversal of 1981282670208 is 8020762821891.

1981282670208 is a `hidden beast` number, since 1 + 98 + 1 + 282 + 6 + 70 + 208 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1694766556224 + 286516113984 = 1301832^2 + 535272^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×1981282670208³ (a number of 38 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 736698 + ... + 2122566.

Almost surely, 2^{1981282670208} is an apocalyptic number.

1981282670208 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 1981282670208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3059709927300).

1981282670208 is an abundant number, since it is smaller than the sum of its proper divisors (4138137184392).

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

1981282670208 is a wasteful number, since it uses less digits than its factorization.

1981282670208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385979 (or 1385964 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 1981282670208 in words is "one trillion, nine hundred eighty-one billion, two hundred eighty-two million, six hundred seventy thousand, two hundred eight".