10000618304112 has 60 divisors (see below), whose sum is σ = 27990684288840. Its totient is φ = 3333200840064.

The previous prime is 10000618304093. The next prime is 10000618304153. The reversal of 10000618304112 is 21140381600001.

It is a happy number.

10000618304112 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 618 + 3 + 0 + 41 + 1 + 2 = 666.

It is a super-2 number, since 2×10000618304112² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 2102403 + ... + 4941794.

It is an arithmetic number, because the mean of its divisors is an integer number (466511404814).

Almost surely, 2^{10000618304112} is an apocalyptic number.

10000618304112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000618304112 is an abundant number, since it is smaller than the sum of its proper divisors (17990065984728).

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

10000618304112 is a wasteful number, since it uses less digits than its factorization.

10000618304112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7054070 (or 7054061 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 10000618304112 its reverse (21140381600001), we get a palindrome (31140999904113).

The spelling of 10000618304112 in words is "ten trillion, six hundred eighteen million, three hundred four thousand, one hundred twelve".