9801000000 has 735 divisors, whose sum is σ = 39917672641. Its totient is φ = 2376000000.

The previous prime is 9800999981. The next prime is 9801000023. The reversal of 9801000000 is 1089.

The square root of 9801000000 is 99000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 8586616896 + 1214383104 = 92664^2 + 34848^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 890999995 + ... + 891000005.

Almost surely, 2^9801000000 is an apocalyptic number.

9801000000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9801000000 is the 99000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9801000000

9801000000 is an abundant number, since it is smaller than the sum of its proper divisors (30116672641).

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

9801000000 is an frugal number, since it uses more digits than its factorization.

9801000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The cubic root of 9801000000 is about 2140.0477469185.

Adding to 9801000000 its reverse (1089), we get a palindrome (9801001089).

Multiplying 9801000000 by its reverse (1089), we get a square (10673289000000 = 3267000²).

9801000000 divided by its reverse (1089) gives a square (9000000 = 3000²).

The spelling of 9801000000 in words is "nine billion, eight hundred one million", and thus it is an aban number.