748441265625 has 105 divisors (see below), whose sum is σ = 1399354177881. Its totient is φ = 398649600000.

The previous prime is 748441265573. The next prime is 748441265641. The reversal of 748441265625 is 526562144847.

The square root of 748441265625 is 865125.

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

748441265625 is a `hidden beast` number, since 7 + 4 + 8 + 4 + 4 + 1 + 2 + 6 + 5 + 625 = 666.

748441265625 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 10 ways, for example, as 553674392649 + 194766872976 = 744093^2 + 441324^2 .

It is a de Polignac number, because none of the positive numbers 2^k-748441265625 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 973265241 + ... + 973266009.

Almost surely, 2^748441265625 is an apocalyptic number.

748441265625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

748441265625 is the 865125-th square number.

748441265625 is the 432563-rd centered octagonal number.

It is an amenable number.

748441265625 is a deficient number, since it is larger than the sum of its proper divisors (650912912256).

748441265625 is an frugal number, since it uses more digits than its factorization.

748441265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 777 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 748441265625 in words is "seven hundred forty-eight billion, four hundred forty-one million, two hundred sixty-five thousand, six hundred twenty-five".