814373000900 has 18 divisors (see below), whose sum is σ = 1767189412170. Its totient is φ = 325749200320.

The previous prime is 814373000887. The next prime is 814373000911. The reversal of 814373000900 is 9000373418.

It can be written as a sum of positive squares in 3 ways, for example, as 19247677696 + 795125323204 = 138736^2 + 891698^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4071864905 + ... + 4071865104.

It is an arithmetic number, because the mean of its divisors is an integer number (98177189565).

Almost surely, 2^814373000900 is an apocalyptic number.

It is an amenable number.

814373000900 is an abundant number, since it is smaller than the sum of its proper divisors (952816411270).

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

814373000900 is a wasteful number, since it uses less digits than its factorization.

814373000900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8143730023 (or 8143730016 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 814373000900 in words is "eight hundred fourteen billion, three hundred seventy-three million, nine hundred", and thus it is an aban number.