12135273952464 has 100 divisors (see below), whose sum is σ = 37824773102116. Its totient is φ = 3733930441728.

The previous prime is 12135273952397. The next prime is 12135273952469. The reversal of 12135273952464 is 46425937253121.

It is a happy number.

12135273952464 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 5 + 2 + 7 + 395 + 246 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4990344952464 + 7144929000000 = 2233908^2 + 2673000^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12135273952464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135273952469) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 360123049 + ... + 360156744.

Almost surely, 2^{12135273952464} is an apocalyptic number.

It is an amenable number.

12135273952464 is an abundant number, since it is smaller than the sum of its proper divisors (25689499149652).

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

12135273952464 is a wasteful number, since it uses less digits than its factorization.

12135273952464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720279826 (or 720279811 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 12135273952464 in words is "twelve trillion, one hundred thirty-five billion, two hundred seventy-three million, nine hundred fifty-two thousand, four hundred sixty-four".