112652887172640 has 288 divisors, whose sum is σ = 377028663621120. Its totient is φ = 28268394971136.

The previous prime is 112652887172599. The next prime is 112652887172647. The reversal of 112652887172640 is 46271788256211.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (112652887172647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772458769 + ... + 772604591.

It is an arithmetic number, because the mean of its divisors is an integer number (1309127304240).

Almost surely, 2^{112652887172640} is an apocalyptic number.

112652887172640 is a gapful number since it is divisible by the number (10) 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 112652887172640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188514331810560).

112652887172640 is an abundant number, since it is smaller than the sum of its proper divisors (264375776448480).

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

112652887172640 is a wasteful number, since it uses less digits than its factorization.

112652887172640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151444 (or 151419 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 60.

The spelling of 112652887172640 in words is "one hundred twelve trillion, six hundred fifty-two billion, eight hundred eighty-seven million, one hundred seventy-two thousand, six hundred forty".