112550718316400 has 1920 divisors, whose sum is σ = 366984271503360. Its totient is φ = 32173259489280.

The previous prime is 112550718316363. The next prime is 112550718316409. The reversal of 112550718316400 is 4613817055211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112550718316409) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 470923507481 + ... + 470923507719.

It is an arithmetic number, because the mean of its divisors is an integer number (191137641408).

Almost surely, 2^{112550718316400} is an apocalyptic number.

112550718316400 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 112550718316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183492135751680).

112550718316400 is an abundant number, since it is smaller than the sum of its proper divisors (254433553186960).

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

112550718316400 is a wasteful number, since it uses less digits than its factorization.

112550718316400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 44.

The spelling of 112550718316400 in words is "one hundred twelve trillion, five hundred fifty billion, seven hundred eighteen million, three hundred sixteen thousand, four hundred".