906605864316 has 72 divisors (see below), whose sum is σ = 2295563494224. Its totient is φ = 301692695040.

The previous prime is 906605864293. The next prime is 906605864317. The reversal of 906605864316 is 613468506609.

906605864316 is a `hidden beast` number, since 9 + 0 + 6 + 6 + 0 + 586 + 43 + 16 = 666.

It is a super-2 number, since 2×906605864316² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906605864317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55014270 + ... + 55030746.

Almost surely, 2^906605864316 is an apocalyptic number.

It is an amenable number.

906605864316 is an abundant number, since it is smaller than the sum of its proper divisors (1388957629908).

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

906605864316 is a wasteful number, since it uses less digits than its factorization.

906605864316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18971 (or 18966 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 906605864316 in words is "nine hundred six billion, six hundred five million, eight hundred sixty-four thousand, three hundred sixteen".