9456216000 has 1344 divisors, whose sum is σ = 42930860544. Its totient is φ = 1806336000.

The previous prime is 9456215981. The next prime is 9456216047. The reversal of 9456216000 is 6126549.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 219911979 + ... + 219912021.

Almost surely, 2^9456216000 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 9456216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21465430272).

9456216000 is an abundant number, since it is smaller than the sum of its proper divisors (33474644544).

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

9456216000 is a wasteful number, since it uses less digits than its factorization.

9456216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 9456216000 is about 97243.0768743976. The cubic root of 9456216000 is about 2114.6530736677.

It can be divided in two parts, 9456 and 216000, that added together give a triangular number (225456 = T₆₇₁).

The spelling of 9456216000 in words is "nine billion, four hundred fifty-six million, two hundred sixteen thousand".