512144011104 has 96 divisors (see below), whose sum is σ = 1502364931200. Its totient is φ = 151409894400.

The previous prime is 512144011079. The next prime is 512144011109. The reversal of 512144011104 is 401110441215.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512144011109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5871154 + ... + 5957745.

It is an arithmetic number, because the mean of its divisors is an integer number (15649634700).

Almost surely, 2^512144011104 is an apocalyptic number.

It is an amenable number.

512144011104 is an abundant number, since it is smaller than the sum of its proper divisors (990220920096).

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

512144011104 is a wasteful number, since it uses less digits than its factorization.

512144011104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11828964 (or 11828956 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 512144011104 its reverse (401110441215), we get a palindrome (913254452319).

The spelling of 512144011104 in words is "five hundred twelve billion, one hundred forty-four million, eleven thousand, one hundred four".