9434873722896 has 240 divisors, whose sum is σ = 26867354754240. Its totient is φ = 3090421002240.

The previous prime is 9434873722871. The next prime is 9434873722907. The reversal of 9434873722896 is 6982273784349.

9434873722896 is a `hidden beast` number, since 9 + 4 + 3 + 487 + 37 + 2 + 28 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1082845836 + ... + 1082854548.

It is an arithmetic number, because the mean of its divisors is an integer number (111947311476).

Almost surely, 2^{9434873722896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9434873722896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13433677377120).

9434873722896 is an abundant number, since it is smaller than the sum of its proper divisors (17432481031344).

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

9434873722896 is a wasteful number, since it uses less digits than its factorization.

9434873722896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9414 (or 9405 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 9434873722896 in words is "nine trillion, four hundred thirty-four billion, eight hundred seventy-three million, seven hundred twenty-two thousand, eight hundred ninety-six".