9817002048 has 448 divisors, whose sum is σ = 32865730560. Its totient is φ = 2524397568.

The previous prime is 9817002043. The next prime is 9817002067. The reversal of 9817002048 is 8402007189.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 9817001997 and 9817002015.

It is not an unprimeable number, because it can be changed into a prime (9817002043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42132940 + ... + 42133172.

Almost surely, 2^9817002048 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 9817002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16432865280).

9817002048 is an abundant number, since it is smaller than the sum of its proper divisors (23048728512).

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

9817002048 is a wasteful number, since it uses less digits than its factorization.

9817002048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 9817002048 is about 99080.7854631765. The cubic root of 9817002048 is about 2141.2117957012.

The spelling of 9817002048 in words is "nine billion, eight hundred seventeen million, two thousand, forty-eight".