981147722688 has 840 divisors, whose sum is σ = 3452242036320. Its totient is φ = 274685644800.

The previous prime is 981147722669. The next prime is 981147722689. The reversal of 981147722688 is 886227741189.

981147722688 is a `hidden beast` number, since 9 + 81 + 1 + 477 + 2 + 2 + 6 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981147722689) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4284487758 + ... + 4284487986.

It is an arithmetic number, because the mean of its divisors is an integer number (4109811948).

Almost surely, 2^981147722688 is an apocalyptic number.

981147722688 is a gapful number since it is divisible by the number (98) 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 981147722688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726121018160).

981147722688 is an abundant number, since it is smaller than the sum of its proper divisors (2471094313632).

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

981147722688 is a wasteful number, since it uses less digits than its factorization.

981147722688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 509 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 63.

The spelling of 981147722688 in words is "nine hundred eighty-one billion, one hundred forty-seven million, seven hundred twenty-two thousand, six hundred eighty-eight".