9891495936 has 405 divisors, whose sum is σ = 34162448229. Its totient is φ = 2749759488.

The previous prime is 9891495919. The next prime is 9891495949. The reversal of 9891495936 is 6395941989.

The square root of 9891495936 is 99456.

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

It can be written as a sum of positive squares in only one way, i.e., 8851046400 + 1040449536 = 94080^2 + 32256^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 267337710 + ... + 267337746.

Almost surely, 2^9891495936 is an apocalyptic number.

9891495936 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9891495936 is the 99456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9891495936

9891495936 is an abundant number, since it is smaller than the sum of its proper divisors (24270952293).

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

9891495936 is an equidigital number, since it uses as much as digits as its factorization.

9891495936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 49 counting only the distinct ones).

The product of its digits is 18895680, while the sum is 63.

The cubic root of 9891495936 is about 2146.6141722093.

The spelling of 9891495936 in words is "nine billion, eight hundred ninety-one million, four hundred ninety-five thousand, nine hundred thirty-six".