9141643120896 has 720 divisors, whose sum is σ = 32567644105920. Its totient is φ = 2513714135040.

The previous prime is 9141643120871. The next prime is 9141643120921. The reversal of 9141643120896 is 6980213461419.

9141643120896 is a `hidden beast` number, since 91 + 4 + 16 + 431 + 20 + 8 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (9141643120871) and next prime (9141643120921).

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 79 ways as a sum of consecutive naturals, for example, 174923506 + ... + 174975758.

It is an arithmetic number, because the mean of its divisors is an integer number (45232839036).

Almost surely, 2^{9141643120896} is an apocalyptic number.

9141643120896 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 9141643120896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16283822052960).

9141643120896 is an abundant number, since it is smaller than the sum of its proper divisors (23426000985024).

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

9141643120896 is a wasteful number, since it uses less digits than its factorization.

9141643120896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52364 (or 52341 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 9141643120896 in words is "nine trillion, one hundred forty-one billion, six hundred forty-three million, one hundred twenty thousand, eight hundred ninety-six".