814648704 has 64 divisors (see below), whose sum is σ = 2291217840. Its totient is φ = 255574016.

The previous prime is 814648651. The next prime is 814648727. The reversal of 814648704 is 407846418.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55869 + ... + 68924.

Almost surely, 2^814648704 is an apocalyptic number.

It is an amenable number.

814648704 is an abundant number, since it is smaller than the sum of its proper divisors (1476569136).

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

814648704 is a wasteful number, since it uses less digits than its factorization.

814648704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124827 (or 124815 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 814648704 is about 28542.0515030017. The cubic root of 814648704 is about 933.9496355817.

The spelling of 814648704 in words is "eight hundred fourteen million, six hundred forty-eight thousand, seven hundred four".