112648725792 has 144 divisors (see below), whose sum is σ = 323200757880. Its totient is φ = 37216198656.

The previous prime is 112648725779. The next prime is 112648725811. The reversal of 112648725792 is 297527846211.

112648725792 is a `hidden beast` number, since 1 + 1 + 2 + 64 + 8 + 7 + 2 + 579 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108638796816 + 4009928976 = 329604^2 + 63324^2 .

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

It is a super-2 number, since 2×112648725792² (a number of 23 digits) contains 22 as substring.

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, 16787334 + ... + 16794042.

Almost surely, 2^112648725792 is an apocalyptic number.

112648725792 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 112648725792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161600378940).

112648725792 is an abundant number, since it is smaller than the sum of its proper divisors (210552032088).

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

112648725792 is a wasteful number, since it uses less digits than its factorization.

112648725792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7235 (or 7224 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 112648725792 in words is "one hundred twelve billion, six hundred forty-eight million, seven hundred twenty-five thousand, seven hundred ninety-two".