9094896000 has 512 divisors, whose sum is σ = 34465392000. Its totient is φ = 2355609600.

The previous prime is 9094895993. The next prime is 9094896007. The reversal of 9094896000 is 6984909.

It is an interprime number because it is at equal distance from previous prime (9094895993) and next prime (9094896007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9094896007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15983716 + ... + 15984284.

Almost surely, 2^9094896000 is an apocalyptic number.

9094896000 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 9094896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17232696000).

9094896000 is an abundant number, since it is smaller than the sum of its proper divisors (25370496000).

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

9094896000 is a wasteful number, since it uses less digits than its factorization.

9094896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9094896000 is about 95367.1641604174. The cubic root of 9094896000 is about 2087.3690787650.

The spelling of 9094896000 in words is "nine billion, ninety-four million, eight hundred ninety-six thousand".