981181768608 has 576 divisors, whose sum is σ = 3208755513600. Its totient is φ = 294249314304.

The previous prime is 981181768607. The next prime is 981181768649. The reversal of 981181768608 is 806867181189.

981181768608 is a `hidden beast` number, since 9 + 8 + 1 + 1 + 8 + 17 + 6 + 8 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (981181768607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 629365333 + ... + 629366891.

It is an arithmetic number, because the mean of its divisors is an integer number (5570756100).

Almost surely, 2^981181768608 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 981181768608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604377756800).

981181768608 is an abundant number, since it is smaller than the sum of its proper divisors (2227573744992).

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

981181768608 is a wasteful number, since it uses less digits than its factorization.

981181768608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 63.

The spelling of 981181768608 in words is "nine hundred eighty-one billion, one hundred eighty-one million, seven hundred sixty-eight thousand, six hundred eight".