9014952960 has 528 divisors, whose sum is σ = 34200457200. Its totient is φ = 2182348800.

The previous prime is 9014952917. The next prime is 9014952977. The reversal of 9014952960 is 692594109.

It can be written as a sum of positive squares in 8 ways, for example, as 325730304 + 8689222656 = 18048^2 + 93216^2 .

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 47 ways as a sum of consecutive naturals, for example, 60502966 + ... + 60503114.

Almost surely, 2^9014952960 is an apocalyptic number.

9014952960 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 9014952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100228600).

9014952960 is an abundant number, since it is smaller than the sum of its proper divisors (25185504240).

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

9014952960 is a wasteful number, since it uses less digits than its factorization.

9014952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 9014952960 is about 94947.1061170376. The cubic root of 9014952960 is about 2081.2351638149.

The spelling of 9014952960 in words is "nine billion, fourteen million, nine hundred fifty-two thousand, nine hundred sixty".