9140526645264 has 480 divisors, whose sum is σ = 30949784087040. Its totient is φ = 2461899128832.

The previous prime is 9140526645247. The next prime is 9140526645293. The reversal of 9140526645264 is 4625466250419.

9140526645264 is a `hidden beast` number, since 9 + 1 + 4 + 0 + 52 + 6 + 64 + 526 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 9140526645264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 645829612 + ... + 645843764.

It is an arithmetic number, because the mean of its divisors is an integer number (64478716848).

Almost surely, 2^{9140526645264} 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 9140526645264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15474892043520).

9140526645264 is an abundant number, since it is smaller than the sum of its proper divisors (21809257441776).

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

9140526645264 is a wasteful number, since it uses less digits than its factorization.

9140526645264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14599 (or 14590 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 9140526645264 in words is "nine trillion, one hundred forty billion, five hundred twenty-six million, six hundred forty-five thousand, two hundred sixty-four".