814688868800 has 42 divisors (see below), whose sum is σ = 2004643801728. Its totient is φ = 325875546880.

The previous prime is 814688868781. The next prime is 814688868803. The reversal of 814688868800 is 8868886418.

It is a super-2 number, since 2×814688868800² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814688868803) 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 5 ways as a sum of consecutive naturals, for example, 254588672 + ... + 254591871.

Almost surely, 2^814688868800 is an apocalyptic number.

814688868800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

814688868800 is an abundant number, since it is smaller than the sum of its proper divisors (1189954932928).

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

814688868800 is a wasteful number, since it uses less digits than its factorization.

814688868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509180565 (or 509180550 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 65.

The spelling of 814688868800 in words is "eight hundred fourteen billion, six hundred eighty-eight million, eight hundred sixty-eight thousand, eight hundred".