1312552114164 has 36 divisors (see below), whose sum is σ = 3513007130724. Its totient is φ = 411781055232.

The previous prime is 1312552114163. The next prime is 1312552114171. The reversal of 1312552114164 is 4614112552131.

1312552114164 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 552 + 1 + 1 + 41 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1097692053264 + 214860060900 = 1047708^2 + 463530^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312552114163) 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 in 11 ways as a sum of consecutive naturals, for example, 1072345887 + ... + 1072347110.

It is an arithmetic number, because the mean of its divisors is an integer number (97583531409).

Almost surely, 2^{1312552114164} is an apocalyptic number.

It is an amenable number.

1312552114164 is an abundant number, since it is smaller than the sum of its proper divisors (2200455016560).

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

1312552114164 is a wasteful number, since it uses less digits than its factorization.

1312552114164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144693024 (or 2144693019 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

Adding to 1312552114164 its reverse (4614112552131), we get a palindrome (5926664666295).

The spelling of 1312552114164 in words is "one trillion, three hundred twelve billion, five hundred fifty-two million, one hundred fourteen thousand, one hundred sixty-four".