115001006313344 has 64 divisors (see below), whose sum is σ = 229731986678400. Its totient is φ = 57342813857280.

The previous prime is 115001006313343. The next prime is 115001006313353. The reversal of 115001006313344 is 443313600100511.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 115001006313344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115001006313343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485341139 + ... + 485578029.

It is an arithmetic number, because the mean of its divisors is an integer number (3589562291850).

Almost surely, 2^{115001006313344} is an apocalyptic number.

It is an amenable number.

115001006313344 is a deficient number, since it is larger than the sum of its proper divisors (114730980365056).

115001006313344 is a wasteful number, since it uses less digits than its factorization.

115001006313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247291 (or 247279 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 115001006313344 its reverse (443313600100511), we get a palindrome (558314606413855).

The spelling of 115001006313344 in words is "one hundred fifteen trillion, one billion, six million, three hundred thirteen thousand, three hundred forty-four".