814202088742064 has 80 divisors (see below), whose sum is σ = 1729450000258560. Its totient is φ = 368261355598080.

The previous prime is 814202088742027. The next prime is 814202088742069. The reversal of 814202088742064 is 460247880202418.

It is a happy number.

It is a super-2 number, since 2×814202088742064² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (814202088742069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47572802 + ... + 62382494.

It is an arithmetic number, because the mean of its divisors is an integer number (21618125003232).

Almost surely, 2^{814202088742064} 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 814202088742064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864725000129280).

814202088742064 is an abundant number, since it is smaller than the sum of its proper divisors (915247911516496).

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

814202088742064 is a wasteful number, since it uses less digits than its factorization.

814202088742064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14811258 (or 14811252 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 56.

The spelling of 814202088742064 in words is "eight hundred fourteen trillion, two hundred two billion, eighty-eight million, seven hundred forty-two thousand, sixty-four".