9158356316160 has 1456 divisors, whose sum is σ = 34537610990880. Its totient is φ = 2327634247680.

The previous prime is 9158356316149. The next prime is 9158356316189. The reversal of 9158356316160 is 616136538519.

9158356316160 is a `hidden beast` number, since 9 + 1 + 5 + 8 + 3 + 563 + 16 + 1 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9158356316097 and 9158356316106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 32592015220 + ... + 32592015500.

Almost surely, 2^{9158356316160} is an apocalyptic number.

9158356316160 is a gapful number since it is divisible by the number (90) 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 9158356316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17268805495440).

9158356316160 is an abundant number, since it is smaller than the sum of its proper divisors (25379254674720).

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

9158356316160 is an equidigital number, since it uses as much as digits as its factorization.

9158356316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 9158356316160 in words is "nine trillion, one hundred fifty-eight billion, three hundred fifty-six million, three hundred sixteen thousand, one hundred sixty".