814978739568 has 160 divisors (see below), whose sum is σ = 2535738416640. Its totient is φ = 220336865280.

The previous prime is 814978739563. The next prime is 814978739683. The reversal of 814978739568 is 865937879418.

It is a self number, because there is not a number n which added to its sum of digits gives 814978739568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814978739563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5396608 + ... + 5545568.

It is an arithmetic number, because the mean of its divisors is an integer number (15848365104).

Almost surely, 2^814978739568 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 814978739568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267869208320).

814978739568 is an abundant number, since it is smaller than the sum of its proper divisors (1720759677072).

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

814978739568 is a wasteful number, since it uses less digits than its factorization.

814978739568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149855 (or 149849 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 75.

The spelling of 814978739568 in words is "eight hundred fourteen billion, nine hundred seventy-eight million, seven hundred thirty-nine thousand, five hundred sixty-eight".