9941801688 has 576 divisors, whose sum is σ = 36704041920. Its totient is φ = 2399846400.

The previous prime is 9941801651. The next prime is 9941801707. The reversal of 9941801688 is 8861081499.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31967053 + ... + 31967363.

It is an arithmetic number, because the mean of its divisors is an integer number (63722295).

Almost surely, 2^9941801688 is an apocalyptic number.

9941801688 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 9941801688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18352020960).

9941801688 is an abundant number, since it is smaller than the sum of its proper divisors (26762240232).

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

9941801688 is a wasteful number, since it uses less digits than its factorization.

9941801688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The square root of 9941801688 is about 99708.5838230591. The cubic root of 9941801688 is about 2150.2470736789.

The spelling of 9941801688 in words is "nine billion, nine hundred forty-one million, eight hundred one thousand, six hundred eighty-eight".