814468103712 has 144 divisors (see below), whose sum is σ = 2343099671640. Its totient is φ = 268332134400.

The previous prime is 814468103711. The next prime is 814468103717. The reversal of 814468103712 is 217301864418.

814468103712 is a `hidden beast` number, since 8 + 14 + 468 + 103 + 71 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 518797516176 + 295670587536 = 720276^2 + 543756^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (814468103711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88707762 + ... + 88716942.

Almost surely, 2^814468103712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814468103712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171549835820).

814468103712 is an abundant number, since it is smaller than the sum of its proper divisors (1528631567928).

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

814468103712 is a wasteful number, since it uses less digits than its factorization.

814468103712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12747 (or 12736 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 814468103712 in words is "eight hundred fourteen billion, four hundred sixty-eight million, one hundred three thousand, seven hundred twelve".