115232245123104 has 288 divisors, whose sum is σ = 347815882237824. Its totient is φ = 36113768570880.

The previous prime is 115232245123103. The next prime is 115232245123109. The reversal of 115232245123104 is 401321542232511.

115232245123104 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 32 + 2 + 4 + 512 + 3 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×115232245123104² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (115232245123103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107777064 + ... + 108840984.

It is an arithmetic number, because the mean of its divisors is an integer number (1207694035548).

Almost surely, 2^{115232245123104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115232245123104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173907941118912).

115232245123104 is an abundant number, since it is smaller than the sum of its proper divisors (232583637114720).

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

115232245123104 is a wasteful number, since it uses less digits than its factorization.

115232245123104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064240 (or 1064229 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 115232245123104 its reverse (401321542232511), we get a palindrome (516553787355615).

The spelling of 115232245123104 in words is "one hundred fifteen trillion, two hundred thirty-two billion, two hundred forty-five million, one hundred twenty-three thousand, one hundred four".