9135753970464 has 288 divisors, whose sum is σ = 30373145921664. Its totient is φ = 2576475095040.

The previous prime is 9135753970417. The next prime is 9135753970471. The reversal of 9135753970464 is 4640793575319.

It is a happy number.

9135753970464 is a `hidden beast` number, since 9 + 1 + 3 + 5 + 75 + 39 + 70 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1001632 + ... + 4390304.

It is an arithmetic number, because the mean of its divisors is an integer number (105462312228).

Almost surely, 2^{9135753970464} 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 9135753970464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15186572960832).

9135753970464 is an abundant number, since it is smaller than the sum of its proper divisors (21237391951200).

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

9135753970464 is a wasteful number, since it uses less digits than its factorization.

9135753970464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388760 (or 3388749 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 9135753970464 in words is "nine trillion, one hundred thirty-five billion, seven hundred fifty-three million, nine hundred seventy thousand, four hundred sixty-four".