9261216000 has 504 divisors, whose sum is σ = 34677576024. Its totient is φ = 2463436800.

The previous prime is 9261215983. The next prime is 9261216001. The reversal of 9261216000 is 6121629.

It can be written as a sum of positive squares in 4 ways, for example, as 146313216 + 9114902784 = 12096^2 + 95472^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (9261216001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 23327802 + ... + 23328198.

Almost surely, 2^9261216000 is an apocalyptic number.

9261216000 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 9261216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17338788012).

9261216000 is an abundant number, since it is smaller than the sum of its proper divisors (25416360024).

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

9261216000 is an frugal number, since it uses more digits than its factorization.

9261216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9261216000 is about 96235.2118509644. The cubic root of 9261216000 is about 2100.0163264037.

Adding to 9261216000 its reverse (6121629), we get a palindrome (9267337629).

It can be divided in two parts, 9261 and 216000, that multiplied together give a cube (2000376000 = 1260³).

The spelling of 9261216000 in words is "nine billion, two hundred sixty-one million, two hundred sixteen thousand".