48389000625 has 135 divisors (see below), whose sum is σ = 101843900301. Its totient is φ = 22067892000.

The previous prime is 48389000591. The next prime is 48389000677. The reversal of 48389000625 is 52600098384.

The square root of 48389000625 is 219975.

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

It can be written as a sum of positive squares in 2 ways, for example, as 3793697649 + 44595302976 = 61593^2 + 211176^2 .

It is not a de Polignac number, because 48389000625 - 2⁷ = 48389000497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 134 ways as a sum of consecutive naturals, for example, 115486666 + ... + 115487084.

Almost surely, 2^48389000625 is an apocalyptic number.

48389000625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48389000625 is the 219975-th square number.

48389000625 is the 109988-th centered octagonal number.

It is an amenable number.

48389000625 is an abundant number, since it is smaller than the sum of its proper divisors (53454899676).

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

48389000625 is an frugal number, since it uses more digits than its factorization.

48389000625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 48389000625 in words is "forty-eight billion, three hundred eighty-nine million, six hundred twenty-five", and thus it is an aban number.