112571501616640 has 320 divisors, whose sum is σ = 314568029571840. Its totient is φ = 38201785712640.

The previous prime is 112571501616571. The next prime is 112571501616767. The reversal of 112571501616640 is 46616105175211.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 34277544 + ... + 37417816.

It is an arithmetic number, because the mean of its divisors is an integer number (983025092412).

Almost surely, 2^{112571501616640} is an apocalyptic number.

112571501616640 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 112571501616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157284014785920).

112571501616640 is an abundant number, since it is smaller than the sum of its proper divisors (201996527955200).

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

112571501616640 is a wasteful number, since it uses less digits than its factorization.

112571501616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140393 (or 3140377 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 46.

The spelling of 112571501616640 in words is "one hundred twelve trillion, five hundred seventy-one billion, five hundred one million, six hundred sixteen thousand, six hundred forty".