3217047135264 has 72 divisors (see below), whose sum is σ = 9395733978540. Its totient is φ = 1043366635008.

The previous prime is 3217047135257. The next prime is 3217047135361. The reversal of 3217047135264 is 4625317407123.

It is a happy number.

3217047135264 is a `hidden beast` number, since 3 + 2 + 1 + 70 + 47 + 13 + 526 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3005715690000 + 211331445264 = 1733700^2 + 459708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3217047135264² (a number of 26 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 150939379 + ... + 150960690.

Almost surely, 2^{3217047135264} is an apocalyptic number.

It is an amenable number.

3217047135264 is an abundant number, since it is smaller than the sum of its proper divisors (6178686843276).

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

3217047135264 is a wasteful number, since it uses less digits than its factorization.

3217047135264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301900122 (or 301900111 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 3217047135264 in words is "three trillion, two hundred seventeen billion, forty-seven million, one hundred thirty-five thousand, two hundred sixty-four".