814691807712 has 576 divisors, whose sum is σ = 2566916352000. Its totient is φ = 254115823104.

The previous prime is 814691807711. The next prime is 814691807719. The reversal of 814691807712 is 217708196418.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814691807711) 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 95 ways as a sum of consecutive naturals, for example, 7474236714 + ... + 7474236822.

It is an arithmetic number, because the mean of its divisors is an integer number (4456452000).

Almost surely, 2^814691807712 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 814691807712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283458176000).

814691807712 is an abundant number, since it is smaller than the sum of its proper divisors (1752224544288).

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

814691807712 is an equidigital number, since it uses as much as digits as its factorization.

814691807712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 814691807712 in words is "eight hundred fourteen billion, six hundred ninety-one million, eight hundred seven thousand, seven hundred twelve".