112611206064 has 160 divisors (see below), whose sum is σ = 352203171840. Its totient is φ = 30266966016.

The previous prime is 112611206017. The next prime is 112611206083. The reversal of 112611206064 is 460602116211.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16178617 + ... + 16185575.

It is an arithmetic number, because the mean of its divisors is an integer number (2201269824).

Almost surely, 2^112611206064 is an apocalyptic number.

112611206064 is a gapful number since it is divisible by the number (14) 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 112611206064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176101585920).

112611206064 is an abundant number, since it is smaller than the sum of its proper divisors (239591965776).

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

112611206064 is a wasteful number, since it uses less digits than its factorization.

112611206064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9827 (or 9821 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 112611206064 in words is "one hundred twelve billion, six hundred eleven million, two hundred six thousand, sixty-four".