9451128960 has 1152 divisors, whose sum is σ = 43096060800. Its totient is φ = 1863254016.

The previous prime is 9451128931. The next prime is 9451129027. The reversal of 9451128960 is 698211549.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×9451128960³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 129467484 + ... + 129467556.

It is an arithmetic number, because the mean of its divisors is an integer number (37409775).

Almost surely, 2^9451128960 is an apocalyptic number.

9451128960 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 9451128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21548030400).

9451128960 is an abundant number, since it is smaller than the sum of its proper divisors (33644931840).

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

9451128960 is a wasteful number, since it uses less digits than its factorization.

9451128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 9451128960 is about 97216.9170463660. The cubic root of 9451128960 is about 2114.2738079958.

The spelling of 9451128960 in words is "nine billion, four hundred fifty-one million, one hundred twenty-eight thousand, nine hundred sixty".