115200511415144 has 8 divisors (see below), whose sum is σ = 216000958903410. Its totient is φ = 57600255707568.

The previous prime is 115200511415123. The next prime is 115200511415149. The reversal of 115200511415144 is 441514115002511.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 114557163047044 + 643348368100 = 10703138^2 + 802090^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is not an unprimeable number, because it can be changed into a prime (115200511415149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7200031963439 + ... + 7200031963454.

Almost surely, 2^{115200511415144} is an apocalyptic number.

It is an amenable number.

115200511415144 is a deficient number, since it is larger than the sum of its proper divisors (100800447488266).

115200511415144 is a wasteful number, since it uses less digits than its factorization.

115200511415144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14400063926899 (or 14400063926895 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 35.

Adding to 115200511415144 its reverse (441514115002511), we get a palindrome (556714626417655).

The spelling of 115200511415144 in words is "one hundred fifteen trillion, two hundred billion, five hundred eleven million, four hundred fifteen thousand, one hundred forty-four".