112803080137440 has 1152 divisors, whose sum is σ = 470661166080000. Its totient is φ = 22167956828160.

The previous prime is 112803080137381. The next prime is 112803080137453. The reversal of 112803080137440 is 44731080308211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 112803080137392 and 112803080137401.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 4627047171 + ... + 4627071549.

It is an arithmetic number, because the mean of its divisors is an integer number (408560040000).

Almost surely, 2^{112803080137440} is an apocalyptic number.

112803080137440 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 112803080137440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235330583040000).

112803080137440 is an abundant number, since it is smaller than the sum of its proper divisors (357858085942560).

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

112803080137440 is a wasteful number, since it uses less digits than its factorization.

112803080137440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25044 (or 25025 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 112803080137440 in words is "one hundred twelve trillion, eight hundred three billion, eighty million, one hundred thirty-seven thousand, four hundred forty".