819714417918 has 64 divisors (see below), whose sum is σ = 1846785761280. Its totient is φ = 240304024800.

The previous prime is 819714417913. The next prime is 819714417943.

819714417918 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819714417913) 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, 6110521 + ... + 6243227.

It is an arithmetic number, because the mean of its divisors is an integer number (28856027520).

Almost surely, 2^819714417918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 819714417918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923392880640).

819714417918 is an abundant number, since it is smaller than the sum of its proper divisors (1027071343362).

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

819714417918 is a wasteful number, since it uses less digits than its factorization.

819714417918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135773.

The product of its digits is 4064256, while the sum is 60.

The spelling of 819714417918 in words is "eight hundred nineteen billion, seven hundred fourteen million, four hundred seventeen thousand, nine hundred eighteen".