11146080625 has 45 divisors (see below), whose sum is σ = 14416087719. Its totient is φ = 8614920000.

The previous prime is 11146080607. The next prime is 11146080643. The reversal of 11146080625 is 52608064111.

The square root of 11146080625 is 105575.

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

11146080625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11146080607) and next prime (11146080643).

It can be written as a sum of positive squares in 7 ways, for example, as 11102626161 + 43454464 = 105369^2 + 6592^2 .

It is not a de Polignac number, because 11146080625 - 2⁵ = 11146080593 is a prime.

It is a super-2 number, since 2×11146080625² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 108214324 + ... + 108214426.

Almost surely, 2^11146080625 is an apocalyptic number.

11146080625 is the 105575-th square number.

11146080625 is the 52788-th centered octagonal number.

It is an amenable number.

11146080625 is a deficient number, since it is larger than the sum of its proper divisors (3270007094).

11146080625 is an frugal number, since it uses more digits than its factorization.

11146080625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 11146080625 in words is "eleven billion, one hundred forty-six million, eighty thousand, six hundred twenty-five".