825205094464 has 63 divisors (see below), whose sum is σ = 1712155017517. Its totient is φ = 394583366144.

The previous prime is 825205094437. The next prime is 825205094513. The reversal of 825205094464 is 464490502528.

The square root of 825205094464 is 908408.

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

It can be written as a sum of positive squares in only one way, i.e., 358705166400 + 466499928064 = 598920^2 + 683008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 167144604 + ... + 167149540.

Almost surely, 2^825205094464 is an apocalyptic number.

825205094464 is the 908408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825205094464

825205094464 is an abundant number, since it is smaller than the sum of its proper divisors (886949923053).

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

825205094464 is an frugal number, since it uses more digits than its factorization.

825205094464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9932 (or 4962 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 49.

Multiplying 825205094464 by its sum of digits (49), we get a square (40435049628736 = 6358856²).

The spelling of 825205094464 in words is "eight hundred twenty-five billion, two hundred five million, ninety-four thousand, four hundred sixty-four".