9016510464 has 480 divisors, whose sum is σ = 30050780760. Its totient is φ = 2675441664.

The previous prime is 9016510453. The next prime is 9016510469. The reversal of 9016510464 is 4640156109.

9016510464 is a `hidden beast` number, since 90 + 16 + 510 + 46 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5393433600 + 3623076864 = 73440^2 + 60192^2 .

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

It is not an unprimeable number, because it can be changed into a prime (9016510469) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79792072 + ... + 79792184.

Almost surely, 2^9016510464 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 9016510464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15025390380).

9016510464 is an abundant number, since it is smaller than the sum of its proper divisors (21034270296).

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

9016510464 is a wasteful number, since it uses less digits than its factorization.

9016510464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 9016510464 is about 94955.3077189474. The cubic root of 9016510464 is about 2081.3550145210.

The spelling of 9016510464 in words is "nine billion, sixteen million, five hundred ten thousand, four hundred sixty-four".