9213124816896 has 832 divisors, whose sum is σ = 33751805767680. Its totient is φ = 2157446430720.

The previous prime is 9213124816837. The next prime is 9213124816913. The reversal of 9213124816896 is 6986184213129.

It is a tau number, because it is divible by the number of its divisors (832).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 528903675 + ... + 528921093.

It is an arithmetic number, because the mean of its divisors is an integer number (40567074240).

Almost surely, 2^{9213124816896} is an apocalyptic number.

9213124816896 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 9213124816896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16875902883840).

9213124816896 is an abundant number, since it is smaller than the sum of its proper divisors (24538680950784).

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

9213124816896 is a wasteful number, since it uses less digits than its factorization.

9213124816896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17520 (or 17498 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 60.

The spelling of 9213124816896 in words is "nine trillion, two hundred thirteen billion, one hundred twenty-four million, eight hundred sixteen thousand, eight hundred ninety-six".