112051709856 has 384 divisors, whose sum is σ = 355796582400. Its totient is φ = 34200714240.

The previous prime is 112051709849. The next prime is 112051709873. The reversal of 112051709856 is 658907150211.

112051709856 is a `hidden beast` number, since 1 + 120 + 517 + 0 + 9 + 8 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73187811 + ... + 73189341.

It is an arithmetic number, because the mean of its divisors is an integer number (926553600).

Almost surely, 2^112051709856 is an apocalyptic number.

112051709856 is a gapful number since it is divisible by the number (16) 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 112051709856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177898291200).

112051709856 is an abundant number, since it is smaller than the sum of its proper divisors (243744872544).

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

112051709856 is a wasteful number, since it uses less digits than its factorization.

112051709856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 112051709856 in words is "one hundred twelve billion, fifty-one million, seven hundred nine thousand, eight hundred fifty-six".