48449285200 has 60 divisors (see below), whose sum is σ = 116452038780. Its totient is φ = 19370951680.

The previous prime is 48449285191. The next prime is 48449285207. The reversal of 48449285200 is 258294484.

48449285200 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 6 ways, for example, as 7925984784 + 40523300416 = 89028^2 + 201304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48449285207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 897372 + ... + 949828.

It is an arithmetic number, because the mean of its divisors is an integer number (1940867313).

Almost surely, 2^48449285200 is an apocalyptic number.

48449285200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48449285200 is an abundant number, since it is smaller than the sum of its proper divisors (68002753580).

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

48449285200 is a wasteful number, since it uses less digits than its factorization.

48449285200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54784 (or 54773 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 48449285200 in words is "forty-eight billion, four hundred forty-nine million, two hundred eighty-five thousand, two hundred".