112154400016 has 80 divisors (see below), whose sum is σ = 240470702640. Its totient is φ = 50432901120.

The previous prime is 112154399977. The next prime is 112154400031. The reversal of 112154400016 is 610004451211.

It can be written as a sum of positive squares in 8 ways, for example, as 691900416 + 111462499600 = 26304^2 + 333860^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691846 + ... + 838426.

It is an arithmetic number, because the mean of its divisors is an integer number (3005883783).

Almost surely, 2^112154400016 is an apocalyptic number.

112154400016 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 112154400016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120235351320).

112154400016 is an abundant number, since it is smaller than the sum of its proper divisors (128316302624).

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

112154400016 is a wasteful number, since it uses less digits than its factorization.

112154400016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146732 (or 146726 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 112154400016 its reverse (610004451211), we get a palindrome (722158851227).

The spelling of 112154400016 in words is "one hundred twelve billion, one hundred fifty-four million, four hundred thousand, sixteen".