9891226281024 has 875 divisors, whose sum is σ = 34044357680135. Its totient is φ = 2839586492160.

The previous prime is 9891226281017. The next prime is 9891226281031. The reversal of 9891226281024 is 4201826221989.

The square root of 9891226281024 is 3145032.

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

9891226281024 is a `hidden beast` number, since 9 + 8 + 9 + 1 + 2 + 2 + 628 + 1 + 0 + 2 + 4 = 666.

9891226281024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9891226281017) and next prime (9891226281031).

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=1254.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 124 ways as a sum of consecutive naturals, for example, 520590856887 + ... + 520590856905.

Almost surely, 2^{9891226281024} is an apocalyptic number.

9891226281024 is the 3145032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9891226281024

9891226281024 is an abundant number, since it is smaller than the sum of its proper divisors (24153131399111).

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

9891226281024 is an frugal number, since it uses more digits than its factorization.

9891226281024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 9891226281024 in words is "nine trillion, eight hundred ninety-one billion, two hundred twenty-six million, two hundred eighty-one thousand, twenty-four".