9450964234800 has 1200 divisors, whose sum is σ = 38189534400864. Its totient is φ = 2218475520000.

The previous prime is 9450964234757. The next prime is 9450964234889. The reversal of 9450964234800 is 84324690549.

9450964234800 is a `hidden beast` number, since 9 + 4 + 50 + 96 + 4 + 23 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2001896440 + ... + 2001901160.

Almost surely, 2^{9450964234800} is an apocalyptic number.

9450964234800 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 9450964234800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094767200432).

9450964234800 is an abundant number, since it is smaller than the sum of its proper divisors (28738570166064).

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

9450964234800 is a wasteful number, since it uses less digits than its factorization.

9450964234800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 9450964234800 in words is "nine trillion, four hundred fifty billion, nine hundred sixty-four million, two hundred thirty-four thousand, eight hundred".