1112456575968 has 192 divisors, whose sum is σ = 3067698396672. Its totient is φ = 352310999040.

The previous prime is 1112456575963. The next prime is 1112456575973. The reversal of 1112456575968 is 8695756542111.

It is an interprime number because it is at equal distance from previous prime (1112456575963) and next prime (1112456575973).

It is a super-3 number, since 3×1112456575968³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112456575963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592677046 + ... + 592678922.

It is an arithmetic number, because the mean of its divisors is an integer number (15977595816).

Almost surely, 2^{1112456575968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112456575968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533849198336).

1112456575968 is an abundant number, since it is smaller than the sum of its proper divisors (1955241820704).

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

1112456575968 is a wasteful number, since it uses less digits than its factorization.

1112456575968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3577 (or 3569 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 60.

The spelling of 1112456575968 in words is "one trillion, one hundred twelve billion, four hundred fifty-six million, five hundred seventy-five thousand, nine hundred sixty-eight".