1112746085352 has 160 divisors (see below), whose sum is σ = 3400605141120. Its totient is φ = 337141474560.

The previous prime is 1112746085333. The next prime is 1112746085371. The reversal of 1112746085352 is 2535806472111.

1112746085352 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 7 + 4 + 608 + 5 + 35 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1112746085333) and next prime (1112746085371).

It is a junction number, because it is equal to n+sod(n) for n = 1112746085298 and 1112746085307.

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 39 ways as a sum of consecutive naturals, for example, 79662673 + ... + 79676639.

It is an arithmetic number, because the mean of its divisors is an integer number (21253782132).

Almost surely, 2^{1112746085352} is an apocalyptic number.

1112746085352 is a gapful number since it is divisible by the number (12) 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 1112746085352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700302570560).

1112746085352 is an abundant number, since it is smaller than the sum of its proper divisors (2287859055768).

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

1112746085352 is a wasteful number, since it uses less digits than its factorization.

1112746085352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25173 (or 25160 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1112746085352 in words is "one trillion, one hundred twelve billion, seven hundred forty-six million, eighty-five thousand, three hundred fifty-two".