9130459892736 has 704 divisors, whose sum is σ = 30599370869760. Its totient is φ = 2356370472960.

The previous prime is 9130459892707. The next prime is 9130459892779. The reversal of 9130459892736 is 6372989540319.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3974948740 + ... + 3974951036.

It is an arithmetic number, because the mean of its divisors is an integer number (43465015440).

It is a 1-persistent number, because it is pandigital, but 2⋅9130459892736 = 18260919785472 is not.

Almost surely, 2^{9130459892736} is an apocalyptic number.

9130459892736 is a gapful number since it is divisible by the number (96) 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 9130459892736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15299685434880).

9130459892736 is an abundant number, since it is smaller than the sum of its proper divisors (21468910977024).

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

9130459892736 is a wasteful number, since it uses less digits than its factorization.

9130459892736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 66.

The spelling of 9130459892736 in words is "nine trillion, one hundred thirty billion, four hundred fifty-nine million, eight hundred ninety-two thousand, seven hundred thirty-six".