7836842102112 has 144 divisors (see below), whose sum is σ = 22452812928000. Its totient is φ = 2592740696832.

The previous prime is 7836842102099. The next prime is 7836842102179. The reversal of 7836842102112 is 2112012486387.

7836842102112 is a `hidden beast` number, since 7 + 8 + 3 + 6 + 8 + 421 + 0 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7836842102112² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148852689 + ... + 148905327.

It is an arithmetic number, because the mean of its divisors is an integer number (155922312000).

Almost surely, 2^{7836842102112} is an apocalyptic number.

7836842102112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7836842102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11226406464000).

7836842102112 is an abundant number, since it is smaller than the sum of its proper divisors (14615970825888).

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

7836842102112 is a wasteful number, since it uses less digits than its factorization.

7836842102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56513 (or 56502 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

Adding to 7836842102112 its reverse (2112012486387), we get a palindrome (9948854588499).

The spelling of 7836842102112 in words is "seven trillion, eight hundred thirty-six billion, eight hundred forty-two million, one hundred two thousand, one hundred twelve".