48191225625 has 45 divisors (see below), whose sum is σ = 87013819321. Its totient is φ = 25693206000.

The previous prime is 48191225603. The next prime is 48191225651. The reversal of 48191225625 is 52652219184.

The square root of 48191225625 is 219525.

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

48191225625 is a `hidden beast` number, since 4 + 8 + 1 + 9 + 12 + 2 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3778192089 + 44413033536 = 61467^2 + 210744^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 48191225625 - 2⁷ = 48191225497 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16462912 + ... + 16465838.

Almost surely, 2^48191225625 is an apocalyptic number.

48191225625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48191225625 is the 219525-th square number.

48191225625 is the 109763-rd centered octagonal number.

It is an amenable number.

48191225625 is a deficient number, since it is larger than the sum of its proper divisors (38822593696).

48191225625 is an frugal number, since it uses more digits than its factorization.

48191225625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 2935 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 48191225625 in words is "forty-eight billion, one hundred ninety-one million, two hundred twenty-five thousand, six hundred twenty-five".