112231549440 has 480 divisors, whose sum is σ = 402029621136. Its totient is φ = 28913172480.

The previous prime is 112231549427. The next prime is 112231549459. The reversal of 112231549440 is 44945132211.

112231549440 is a `hidden beast` number, since 1 + 122 + 3 + 1 + 5 + 494 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 59434539264 + 52797010176 = 243792^2 + 229776^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112231549395 and 112231549404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147478660 + ... + 147479420.

Almost surely, 2^112231549440 is an apocalyptic number.

112231549440 is a gapful number since it is divisible by the number (10) 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 112231549440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201014810568).

112231549440 is an abundant number, since it is smaller than the sum of its proper divisors (289798071696).

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

112231549440 is a wasteful number, since it uses less digits than its factorization.

112231549440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 112231549440 in words is "one hundred twelve billion, two hundred thirty-one million, five hundred forty-nine thousand, four hundred forty".