9461088000 has 1296 divisors, whose sum is σ = 44221334976. Its totient is φ = 1891123200.

The previous prime is 9461087989. The next prime is 9461088017. The reversal of 9461088000 is 8801649.

It is a happy number.

9461088000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9461088000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 497951991 + ... + 497952009.

Almost surely, 2^9461088000 is an apocalyptic number.

9461088000 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 9461088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22110667488).

9461088000 is an abundant number, since it is smaller than the sum of its proper divisors (34760246976).

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

9461088000 is a wasteful number, since it uses less digits than its factorization.

9461088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 9461088000 is about 97268.1242751190. The cubic root of 9461088000 is about 2115.0161794782.

Adding to 9461088000 its reverse (8801649), we get a palindrome (9469889649).

The spelling of 9461088000 in words is "nine billion, four hundred sixty-one million, eighty-eight thousand".