4548025412100 has 243 divisors, whose sum is σ = 14485130119551. Its totient is φ = 1193579164800.

The previous prime is 4548025412093. The next prime is 4548025412111. The reversal of 4548025412100 is 12145208454.

The square root of 4548025412100 is 2132610.

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

4548025412100 is a `hidden beast` number, since 4 + 5 + 4 + 8 + 0 + 2 + 541 + 2 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1714456836 + 4546310955264 = 41406^2 + 2132208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4286545570 + ... + 4286546630.

Almost surely, 2^{4548025412100} is an apocalyptic number.

4548025412100 is the 2132610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4548025412100

4548025412100 is an abundant number, since it is smaller than the sum of its proper divisors (9937104707451).

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

4548025412100 is a wasteful number, since it uses less digits than its factorization.

4548025412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Multiplying 4548025412100 by its sum of digits (36), we get a square (163728914835600 = 12795660²).

4548025412100 divided by its sum of digits (36) gives a square (126334039225 = 355435²).

The spelling of 4548025412100 in words is "four trillion, five hundred forty-eight billion, twenty-five million, four hundred twelve thousand, one hundred".