738336340225 has 81 divisors (see below), whose sum is σ = 1070176876041. Its totient is φ = 504835372800.

The previous prime is 738336340223. The next prime is 738336340243. The reversal of 738336340225 is 522043633837.

The square root of 738336340225 is 859265.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17270427889 + 721065912336 = 131417^2 + 849156^2 .

It is not a de Polignac number, because 738336340225 - 2¹ = 738336340223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (738336340223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 803412316 + ... + 803413234.

Almost surely, 2^738336340225 is an apocalyptic number.

738336340225 is the 859265-th square number.

738336340225 is the 429633-rd centered octagonal number.

It is an amenable number.

738336340225 is a deficient number, since it is larger than the sum of its proper divisors (331840535816).

738336340225 is an equidigital number, since it uses as much as digits as its factorization.

738336340225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 46.

The spelling of 738336340225 in words is "seven hundred thirty-eight billion, three hundred thirty-six million, three hundred forty thousand, two hundred twenty-five".