12815340341904 has 135 divisors (see below), whose sum is σ = 36031467250363. Its totient is φ = 4252062289152.

The previous prime is 12815340341887. The next prime is 12815340341977. The reversal of 12815340341904 is 40914304351821.

The square root of 12815340341904 is 3579852.

It is a perfect power (a square), and thus also a powerful number.

12815340341904 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 53 + 403 + 4 + 190 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10990895823504 + 1824444518400 = 3315252^2 + 1350720^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12815340341904.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 11555761702 + ... + 11555762810.

Almost surely, 2^{12815340341904} is an apocalyptic number.

12815340341904 is the 3579852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12815340341904

12815340341904 is an abundant number, since it is smaller than the sum of its proper divisors (23216126908459).

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

12815340341904 is an frugal number, since it uses more digits than its factorization.

12815340341904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 12815340341904 in words is "twelve trillion, eight hundred fifteen billion, three hundred forty million, three hundred forty-one thousand, nine hundred four".