9981601933248 has 336 divisors, whose sum is σ = 32676724080000. Its totient is φ = 2885236623360.

The previous prime is 9981601933243. The next prime is 9981601933253. The reversal of 9981601933248 is 8423391061899.

9981601933248 is a `hidden beast` number, since 9 + 98 + 160 + 19 + 332 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (9981601933243) and next prime (9981601933253).

It is a super-2 number, since 2×9981601933248² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9981601933243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14923503 + ... + 15578001.

It is an arithmetic number, because the mean of its divisors is an integer number (97252155000).

Almost surely, 2^{9981601933248} 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 9981601933248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16338362040000).

9981601933248 is an abundant number, since it is smaller than the sum of its proper divisors (22695122146752).

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

9981601933248 is a wasteful number, since it uses less digits than its factorization.

9981601933248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654640 (or 654627 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 9981601933248 in words is "nine trillion, nine hundred eighty-one billion, six hundred one million, nine hundred thirty-three thousand, two hundred forty-eight".