814473760324 has 45 divisors (see below), whose sum is σ = 1662965567837. Its totient is φ = 349022278752.

The previous prime is 814473760301. The next prime is 814473760339. The reversal of 814473760324 is 423067374418.

The square root of 814473760324 is 902482.

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

814473760324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 123846278724 + 690627481600 = 351918^2 + 831040^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 88438632 + ... + 88447840.

Almost surely, 2^814473760324 is an apocalyptic number.

814473760324 is the 902482-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814473760324

814473760324 is an abundant number, since it is smaller than the sum of its proper divisors (848491807513).

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

814473760324 is an frugal number, since it uses more digits than its factorization.

814473760324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18450 (or 9218 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 49.

Multiplying 814473760324 by its sum of digits (49), we get a square (39909214255876 = 6317374²).

814473760324 divided by its sum of digits (49) gives a square (16621913476 = 128926²).

The spelling of 814473760324 in words is "eight hundred fourteen billion, four hundred seventy-three million, seven hundred sixty thousand, three hundred twenty-four".