9149520000 has 320 divisors, whose sum is σ = 30876991200. Its totient is φ = 2399232000.

The previous prime is 9149519999. The next prime is 9149520019. The reversal of 9149520000 is 259419.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 9149520000.

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 39 ways as a sum of consecutive naturals, for example, 16079716 + ... + 16080284.

Almost surely, 2^9149520000 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 9149520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15438495600).

9149520000 is an abundant number, since it is smaller than the sum of its proper divisors (21727471200).

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

9149520000 is an equidigital number, since it uses as much as digits as its factorization.

9149520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 9149520000 is about 95653.1233154464. The cubic root of 9149520000 is about 2091.5396574432.

Adding to 9149520000 its reverse (259419), we get a palindrome (9149779419).

The spelling of 9149520000 in words is "nine billion, one hundred forty-nine million, five hundred twenty thousand".