814130853264 has 135 divisors (see below), whose sum is σ = 2420892480513. Its totient is φ = 255355854336.

The previous prime is 814130853257. The next prime is 814130853269. The reversal of 814130853264 is 462358031418.

The square root of 814130853264 is 902292.

It is a perfect power (a square), and thus also a powerful number.

814130853264 is a `hidden beast` number, since 8 + 14 + 1 + 308 + 5 + 326 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 633838899600 + 180291953664 = 796140^2 + 424608^2 .

It is not an unprimeable number, because it can be changed into a prime (814130853269) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 184065357 + ... + 184069779.

Almost surely, 2^814130853264 is an apocalyptic number.

814130853264 is the 902292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814130853264

814130853264 is an abundant number, since it is smaller than the sum of its proper divisors (1606761627249).

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

814130853264 is an equidigital number, since it uses as much as digits as its factorization.

814130853264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8894 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 814130853264 in words is "eight hundred fourteen billion, one hundred thirty million, eight hundred fifty-three thousand, two hundred sixty-four".