9153146000000 has 224 divisors, whose sum is σ = 22814538048300. Its totient is φ = 3657830400000.

The previous prime is 9153145999981. The next prime is 9153146000003. The reversal of 9153146000000 is 6413519.

It can be written as a sum of positive squares in 14 ways, for example, as 8538878802496 + 614267197504 = 2922136^2 + 783752^2 .

It is not an unprimeable number, because it can be changed into a prime (9153146000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4033998866 + ... + 4034001134.

Almost surely, 2^{9153146000000} 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 9153146000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11407269024150).

9153146000000 is an abundant number, since it is smaller than the sum of its proper divisors (13661392048300).

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

9153146000000 is an frugal number, since it uses more digits than its factorization.

9153146000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The spelling of 9153146000000 in words is "nine trillion, one hundred fifty-three billion, one hundred forty-six million", and thus it is an aban number.