814385664 has 200 divisors, whose sum is σ = 2473184340. Its totient is φ = 266747904.

The previous prime is 814385617. The next prime is 814385681. The reversal of 814385664 is 466583418.

814385664 is a `hidden beast` number, since 81 + 4 + 3 + 8 + 566 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 772395264 + 41990400 = 27792^2 + 6480^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3027322 + ... + 3027590.

Almost surely, 2^814385664 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 814385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236592170).

814385664 is an abundant number, since it is smaller than the sum of its proper divisors (1658798676).

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

814385664 is an equidigital number, since it uses as much as digits as its factorization.

814385664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 347 counting only the distinct ones).

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

The square root of 814385664 is about 28537.4431931103. The cubic root of 814385664 is about 933.8491044953.

The spelling of 814385664 in words is "eight hundred fourteen million, three hundred eighty-five thousand, six hundred sixty-four".