7714089630625 has 135 divisors (see below), whose sum is σ = 11449165677807. Its totient is φ = 5180675304000.

The previous prime is 7714089630563. The next prime is 7714089630647. The reversal of 7714089630625 is 5260369804177.

The square root of 7714089630625 is 2777425.

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

It can be written as a sum of positive squares in 7 ways, for example, as 7709502006801 + 4587623824 = 2776599^2 + 67732^2 .

It is not a de Polignac number, because 7714089630625 - 2⁹ = 7714089630113 is a prime.

It is a super-2 number, since 2×7714089630625² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7714089630625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 28676912991 + ... + 28676913259.

It is a 1-persistent number, because it is pandigital, but 2⋅7714089630625 = 15428179261250 is not.

Almost surely, 2^{7714089630625} is an apocalyptic number.

7714089630625 is the 2777425-th square number.

7714089630625 is the 1388713-rd centered octagonal number.

It is an amenable number.

7714089630625 is a deficient number, since it is larger than the sum of its proper divisors (3735076047182).

7714089630625 is an frugal number, since it uses more digits than its factorization.

7714089630625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 58.

The spelling of 7714089630625 in words is "seven trillion, seven hundred fourteen billion, eighty-nine million, six hundred thirty thousand, six hundred twenty-five".