6249851136 has 243 divisors, whose sum is σ = 19023765033. Its totient is φ = 2049131520.

The previous prime is 6249851123. The next prime is 6249851137. The reversal of 6249851136 is 6311589426.

The square root of 6249851136 is 79056.

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

6249851136 is a `hidden beast` number, since 62 + 49 + 8 + 511 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 203233536 + 6046617600 = 14256^2 + 77760^2 .

It is a tau number, because it is divible by the number of its divisors (243).

Its product of digits (311040) is a multiple of the sum of its prime factors (162).

It is a junction number, because it is equal to n+sod(n) for n = 6249851091 and 6249851100.

It is not an unprimeable number, because it can be changed into a prime (6249851137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 102456546 + ... + 102456606.

Almost surely, 2^6249851136 is an apocalyptic number.

6249851136 is the 79056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6249851136

6249851136 is an abundant number, since it is smaller than the sum of its proper divisors (12773913897).

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

6249851136 is an frugal number, since it uses more digits than its factorization.

6249851136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 66 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The cubic root of 6249851136 is about 1842.0011246797.

The spelling of 6249851136 in words is "six billion, two hundred forty-nine million, eight hundred fifty-one thousand, one hundred thirty-six".