9453894912000 has 3840 divisors, whose sum is σ = 45591755489280. Its totient is φ = 1891123200000.

The previous prime is 9453894911939. The next prime is 9453894912029. The reversal of 9453894912000 is 2194983549.

9453894912000 is a `hidden beast` number, since 9 + 4 + 53 + 89 + 491 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×9453894912000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 49496831905 + ... + 49496832095.

It is an arithmetic number, because the mean of its divisors is an integer number (11872852992).

Almost surely, 2^{9453894912000} is an apocalyptic number.

9453894912000 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 9453894912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22795877744640).

9453894912000 is an abundant number, since it is smaller than the sum of its proper divisors (36137860577280).

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

9453894912000 is a wasteful number, since it uses less digits than its factorization.

9453894912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 9453894912000 in words is "nine trillion, four hundred fifty-three billion, eight hundred ninety-four million, nine hundred twelve thousand".