48918380625 has 75 divisors (see below), whose sum is σ = 91408265773. Its totient is φ = 26063262000.

The previous prime is 48918380611. The next prime is 48918380639. The reversal of 48918380625 is 52608381984.

The square root of 48918380625 is 221175.

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

48918380625 is a `hidden beast` number, since 4 + 8 + 9 + 1 + 8 + 3 + 8 + 0 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (48918380611) and next prime (48918380639).

It can be written as a sum of positive squares in 2 ways, for example, as 3835201041 + 45083179584 = 61929^2 + 212328^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 48918380625 - 2⁵ = 48918380593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 49763884 + ... + 49764866.

Almost surely, 2^48918380625 is an apocalyptic number.

48918380625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48918380625 is the 221175-th square number.

48918380625 is the 110588-th centered octagonal number.

It is an amenable number.

48918380625 is a deficient number, since it is larger than the sum of its proper divisors (42489885148).

48918380625 is an frugal number, since it uses more digits than its factorization.

48918380625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 48918380625 in words is "forty-eight billion, nine hundred eighteen million, three hundred eighty thousand, six hundred twenty-five".