112152276288 has 168 divisors, whose sum is σ = 358130627400. Its totient is φ = 33318383616.

The previous prime is 112152276281. The next prime is 112152276307. The reversal of 112152276288 is 882672251211.

112152276288 is a `hidden beast` number, since 1 + 1 + 2 + 15 + 2 + 2 + 7 + 628 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23615083584 + 88537192704 = 153672^2 + 297552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112152276281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41083 + ... + 475386.

It is an arithmetic number, because the mean of its divisors is an integer number (2131729925).

Almost surely, 2^112152276288 is an apocalyptic number.

112152276288 is a gapful number since it is divisible by the number (18) 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 112152276288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179065313700).

112152276288 is an abundant number, since it is smaller than the sum of its proper divisors (245978351112).

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

112152276288 is a wasteful number, since it uses less digits than its factorization.

112152276288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516529 (or 516516 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 112152276288 in words is "one hundred twelve billion, one hundred fifty-two million, two hundred seventy-six thousand, two hundred eighty-eight".