9134086500000 has 3360 divisors, whose sum is σ = 43736402666880. Its totient is φ = 1814400000000.

The previous prime is 9134086499987. The next prime is 9134086500013. The reversal of 9134086500000 is 56804319.

9134086500000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9134086499987) and next prime (9134086500013).

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 559 ways as a sum of consecutive naturals, for example, 90436499950 + ... + 90436500050.

It is an arithmetic number, because the mean of its divisors is an integer number (13016786508).

Almost surely, 2^{9134086500000} is an apocalyptic number.

9134086500000 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 9134086500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21868201333440).

9134086500000 is an abundant number, since it is smaller than the sum of its proper divisors (34602316166880).

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

9134086500000 is a wasteful number, since it uses less digits than its factorization.

9134086500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 9134086500000 in words is "nine trillion, one hundred thirty-four billion, eighty-six million, five hundred thousand".