804123341144214 has 128 divisors (see below), whose sum is σ = 1988313004274688. Its totient is φ = 211119835484160.

The previous prime is 804123341144213. The next prime is 804123341144239. The reversal of 804123341144214 is 412441143321408.

It is a super-2 number, since 2×804123341144214² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804123341144213) 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 63 ways as a sum of consecutive naturals, for example, 579548377 + ... + 580934219.

It is an arithmetic number, because the mean of its divisors is an integer number (15533695345896).

Almost surely, 2^{804123341144214} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804123341144214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994156502137344).

804123341144214 is an abundant number, since it is smaller than the sum of its proper divisors (1184189663130474).

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

804123341144214 is a wasteful number, since it uses less digits than its factorization.

804123341144214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390662.

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 804123341144214 in words is "eight hundred four trillion, one hundred twenty-three billion, three hundred forty-one million, one hundred forty-four thousand, two hundred fourteen".