1005636312216 has 48 divisors (see below), whose sum is σ = 2730098662200. Its totient is φ = 334412065152.

The previous prime is 1005636312139. The next prime is 1005636312227. The reversal of 1005636312216 is 6122136365001.

1005636312216 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 6 + 3 + 631 + 2 + 2 + 16 = 666.

It is a super-2 number, since 2×1005636312216² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16637101 + ... + 16697436.

Almost surely, 2^{1005636312216} is an apocalyptic number.

It is an amenable number.

1005636312216 is an abundant number, since it is smaller than the sum of its proper divisors (1724462349984).

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

1005636312216 is a wasteful number, since it uses less digits than its factorization.

1005636312216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33334968 (or 33334961 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1005636312216 in words is "one trillion, five billion, six hundred thirty-six million, three hundred twelve thousand, two hundred sixteen".