9146085212160 has 816 divisors, whose sum is σ = 36156237337584. Its totient is φ = 2118761054208.

The previous prime is 9146085212141. The next prime is 9146085212207. The reversal of 9146085212160 is 612125806419.

9146085212160 is a `hidden beast` number, since 9 + 1 + 4 + 60 + 8 + 521 + 2 + 1 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1001408495616 + 8144676716544 = 1000704^2 + 2853888^2 .

It is a tau number, because it is divible by the number of its divisors (816).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 651748504 + ... + 651762536.

Almost surely, 2^{9146085212160} is an apocalyptic number.

9146085212160 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 9146085212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18078118668792).

9146085212160 is an abundant number, since it is smaller than the sum of its proper divisors (27010152125424).

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

9146085212160 is a wasteful number, since it uses less digits than its factorization.

9146085212160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14106 (or 14073 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 9146085212160 in words is "nine trillion, one hundred forty-six billion, eighty-five million, two hundred twelve thousand, one hundred sixty".