9813129480 has 512 divisors, whose sum is σ = 41057280000. Its totient is φ = 2025354240.

The previous prime is 9813129449. The next prime is 9813129497. The reversal of 9813129480 is 849213189.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16382221 + ... + 16382819.

It is an arithmetic number, because the mean of its divisors is an integer number (80190000).

Almost surely, 2^9813129480 is an apocalyptic number.

9813129480 is a gapful number since it is divisible by the number (90) 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 9813129480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20528640000).

9813129480 is an abundant number, since it is smaller than the sum of its proper divisors (31244150520).

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

9813129480 is a wasteful number, since it uses less digits than its factorization.

9813129480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 9813129480 is about 99061.2410582464. The cubic root of 9813129480 is about 2140.9302067188.

The spelling of 9813129480 in words is "nine billion, eight hundred thirteen million, one hundred twenty-nine thousand, four hundred eighty".