48723940225 has 27 divisors (see below), whose sum is σ = 61063606281. Its totient is φ = 38566819200.

The previous prime is 48723940171. The next prime is 48723940249. The reversal of 48723940225 is 52204932784.

The square root of 48723940225 is 220735.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6746486769 + 41977453456 = 82137^2 + 204884^2 .

It is a de Polignac number, because none of the positive numbers 2^k-48723940225 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 144581257 + ... + 144581593.

Almost surely, 2^48723940225 is an apocalyptic number.

48723940225 is the 220735-th square number.

48723940225 is the 110368-th centered octagonal number.

It is an amenable number.

48723940225 is a deficient number, since it is larger than the sum of its proper divisors (12339666056).

48723940225 is an frugal number, since it uses more digits than its factorization.

48723940225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 48723940225 in words is "forty-eight billion, seven hundred twenty-three million, nine hundred forty thousand, two hundred twenty-five".