15005105314012 has 48 divisors (see below), whose sum is σ = 30722739868800. Its totient is φ = 6339612951360.

The previous prime is 15005105313973. The next prime is 15005105314019. The reversal of 15005105314012 is 21041350150051.

It is a super-2 number, since 2×15005105314012² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15005105314019) 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, 169282962 + ... + 169371577.

It is an arithmetic number, because the mean of its divisors is an integer number (640057080600).

Almost surely, 2^{15005105314012} is an apocalyptic number.

It is an amenable number.

15005105314012 is an abundant number, since it is smaller than the sum of its proper divisors (15717634554788).

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

15005105314012 is a wasteful number, since it uses less digits than its factorization.

15005105314012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338654626 (or 338654624 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

Adding to 15005105314012 its reverse (21041350150051), we get a palindrome (36046455464063).

The spelling of 15005105314012 in words is "fifteen trillion, five billion, one hundred five million, three hundred fourteen thousand, twelve".