48210984900 has 243 divisors, whose sum is σ = 163924188519. Its totient is φ = 11846240640.

The previous prime is 48210984827. The next prime is 48210984931. The reversal of 48210984900 is 948901284.

The square root of 48210984900 is 219570.

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

48210984900 is a `hidden beast` number, since 482 + 1 + 0 + 9 + 84 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12426452676 + 35784532224 = 111474^2 + 189168^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 85632019 + ... + 85632581.

Almost surely, 2^48210984900 is an apocalyptic number.

48210984900 is the 219570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48210984900

48210984900 is an abundant number, since it is smaller than the sum of its proper divisors (115713203619).

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

48210984900 is a wasteful number, since it uses less digits than its factorization.

48210984900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

It can be divided in two parts, 482109 and 84900, that added together give a square (567009 = 753²).

The spelling of 48210984900 in words is "forty-eight billion, two hundred ten million, nine hundred eighty-four thousand, nine hundred".