1112382146736 has 480 divisors, whose sum is σ = 3891439503360. Its totient is φ = 302968512000.

The previous prime is 1112382146731. The next prime is 1112382146747. The reversal of 1112382146736 is 6376412832111.

1112382146736 is a `hidden beast` number, since 11 + 123 + 8 + 21 + 467 + 36 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1112382146691 and 1112382146700.

It is not an unprimeable number, because it can be changed into a prime (1112382146731) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 43953286 + ... + 43978586.

It is an arithmetic number, because the mean of its divisors is an integer number (8107165632).

Almost surely, 2^{1112382146736} is an apocalyptic number.

1112382146736 is a gapful number since it is divisible by the number (16) 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 1112382146736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945719751680).

1112382146736 is an abundant number, since it is smaller than the sum of its proper divisors (2779057356624).

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

1112382146736 is a wasteful number, since it uses less digits than its factorization.

1112382146736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25430 (or 25411 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

Adding to 1112382146736 its reverse (6376412832111), we get a palindrome (7488794978847).

The spelling of 1112382146736 in words is "one trillion, one hundred twelve billion, three hundred eighty-two million, one hundred forty-six thousand, seven hundred thirty-six".