48685981201 has 27 divisors (see below), whose sum is σ = 57985063227. Its totient is φ = 40828890960.

The previous prime is 48685981181. The next prime is 48685981217. The reversal of 48685981201 is 10218958684.

It is a happy number.

The square root of 48685981201 is 220649.

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

48685981201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7202068225 + 41483912976 = 84865^2 + 203676^2 .

It is not a de Polignac number, because 48685981201 - 2²¹ = 48683884049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (48685981801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31552036 + ... + 31553578.

Almost surely, 2^48685981201 is an apocalyptic number.

48685981201 is the 220649-th square number.

48685981201 is the 110325-th centered octagonal number.

It is an amenable number.

48685981201 is a deficient number, since it is larger than the sum of its proper divisors (9299082026).

48685981201 is an equidigital number, since it uses as much as digits as its factorization.

48685981201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 52.

The spelling of 48685981201 in words is "forty-eight billion, six hundred eighty-five million, nine hundred eighty-one thousand, two hundred one".