9830419622500 has 135 divisors (see below), whose sum is σ = 21821080144941. Its totient is φ = 3873787632000.

The previous prime is 9830419622497. The next prime is 9830419622503. The reversal of 9830419622500 is 52269140389.

The square root of 9830419622500 is 3135350.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (9830419622497) and next prime (9830419622503).

It can be written as a sum of positive squares in 7 ways, for example, as 6972588800356 + 2857830822144 = 2640566^2 + 1690512^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9830419622503) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 11444027071 + ... + 11444027929.

Almost surely, 2^{9830419622500} is an apocalyptic number.

9830419622500 is the 3135350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9830419622500

9830419622500 is an abundant number, since it is smaller than the sum of its proper divisors (11990660522441).

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

9830419622500 is an frugal number, since it uses more digits than its factorization.

9830419622500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

Multiplying 9830419622500 by its sum of digits (49), we get a square (481690561502500 = 21947450²).

The spelling of 9830419622500 in words is "nine trillion, eight hundred thirty billion, four hundred nineteen million, six hundred twenty-two thousand, five hundred".