6048172900 has 243 divisors, whose sum is σ = 16949228331. Its totient is φ = 1866480000.

The previous prime is 6048172877. The next prime is 6048172903. The reversal of 6048172900 is 92718406.

The square root of 6048172900 is 77770.

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 1116762724 + 4931410176 = 33418^2 + 70224^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6048172900.

It is not an unprimeable number, because it can be changed into a prime (6048172903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 59882850 + ... + 59882950.

Almost surely, 2^6048172900 is an apocalyptic number.

6048172900 is the 77770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6048172900

6048172900 is an abundant number, since it is smaller than the sum of its proper divisors (10901055431).

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

6048172900 is a wasteful number, since it uses less digits than its factorization.

6048172900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The cubic root of 6048172900 is about 1821.9707449386.

The spelling of 6048172900 in words is "six billion, forty-eight million, one hundred seventy-two thousand, nine hundred".