814672318464 has 195 divisors, whose sum is σ = 2435216220327. Its totient is φ = 271384141824.

The previous prime is 814672318451. The next prime is 814672318469. The reversal of 814672318464 is 464813276418.

The square root of 814672318464 is 902592.

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

814672318464 is a `hidden beast` number, since 8 + 146 + 7 + 2 + 31 + 8 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 814672318464.

It is not an unprimeable number, because it can be changed into a prime (814672318469) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 519892209 + ... + 519893775.

Almost surely, 2^814672318464 is an apocalyptic number.

814672318464 is the 902592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814672318464

814672318464 is an abundant number, since it is smaller than the sum of its proper divisors (1620543901863).

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

814672318464 is an frugal number, since it uses more digits than its factorization.

814672318464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 1572 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 814672318464 in words is "eight hundred fourteen billion, six hundred seventy-two million, three hundred eighteen thousand, four hundred sixty-four".