112273907760 has 960 divisors, whose sum is σ = 489082982400. Its totient is φ = 23514624000.

The previous prime is 112273907693. The next prime is 112273907777. The reversal of 112273907760 is 67709372211.

112273907760 is a `hidden beast` number, since 112 + 27 + 390 + 77 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62338860 + ... + 62340660.

It is an arithmetic number, because the mean of its divisors is an integer number (509461440).

Almost surely, 2^112273907760 is an apocalyptic number.

112273907760 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 112273907760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244541491200).

112273907760 is an abundant number, since it is smaller than the sum of its proper divisors (376809074640).

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

112273907760 is a wasteful number, since it uses less digits than its factorization.

112273907760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 112273907760 in words is "one hundred twelve billion, two hundred seventy-three million, nine hundred seven thousand, seven hundred sixty".