9133496064 has 432 divisors, whose sum is σ = 33933016320. Its totient is φ = 2354227200.

The previous prime is 9133496051. The next prime is 9133496069. The reversal of 9133496064 is 4606943319.

9133496064 is a `hidden beast` number, since 9 + 1 + 3 + 34 + 9 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×9133496064³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9133496069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69721279 + ... + 69721409.

Almost surely, 2^9133496064 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 9133496064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16966508160).

9133496064 is an abundant number, since it is smaller than the sum of its proper divisors (24799520256).

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

9133496064 is a wasteful number, since it uses less digits than its factorization.

9133496064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 9133496064 is about 95569.3259576523. The cubic root of 9133496064 is about 2090.3179437394.

The spelling of 9133496064 in words is "nine billion, one hundred thirty-three million, four hundred ninety-six thousand, sixty-four".