112723655616 has 448 divisors, whose sum is σ = 390684349440. Its totient is φ = 31420846080.

The previous prime is 112723655587. The next prime is 112723655621. The reversal of 112723655616 is 616556327211.

112723655616 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 23 + 6 + 5 + 5 + 616 = 666.

It is a congruent number.

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, 92169181 + ... + 92170403.

It is an arithmetic number, because the mean of its divisors is an integer number (872063280).

Almost surely, 2^112723655616 is an apocalyptic number.

112723655616 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 112723655616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195342174720).

112723655616 is an abundant number, since it is smaller than the sum of its proper divisors (277960693824).

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

112723655616 is a wasteful number, since it uses less digits than its factorization.

112723655616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1625 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 112723655616 in words is "one hundred twelve billion, seven hundred twenty-three million, six hundred fifty-five thousand, six hundred sixteen".