112583175483240 has 512 divisors, whose sum is σ = 468268121088000. Its totient is φ = 23374407168000.

The previous prime is 112583175483211. The next prime is 112583175483241. The reversal of 112583175483240 is 42384571385211.

112583175483240 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 8 + 317 + 5 + 4 + 83 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (112583175483241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99311541 + ... + 100438779.

It is an arithmetic number, because the mean of its divisors is an integer number (914586174000).

Almost surely, 2^{112583175483240} is an apocalyptic number.

112583175483240 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 112583175483240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234134060544000).

112583175483240 is an abundant number, since it is smaller than the sum of its proper divisors (355684945604760).

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

112583175483240 is a wasteful number, since it uses less digits than its factorization.

112583175483240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128478 (or 1128468 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 112583175483240 in words is "one hundred twelve trillion, five hundred eighty-three billion, one hundred seventy-five million, four hundred eighty-three thousand, two hundred forty".