249216799255776 has 1728 divisors, whose sum is σ = 885569022793728. Its totient is φ = 68653520179200.

The previous prime is 249216799255771. The next prime is 249216799255813. The reversal of 249216799255776 is 677552997612942.

249216799255776 is a `hidden beast` number, since 2 + 4 + 9 + 2 + 16 + 7 + 9 + 9 + 25 + 577 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 249216799255695 and 249216799255704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249216799255771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 476513956251 + ... + 476513956773.

It is an arithmetic number, because the mean of its divisors is an integer number (512482073376).

Almost surely, 2^{249216799255776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249216799255776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442784511396864).

249216799255776 is an abundant number, since it is smaller than the sum of its proper divisors (636352223537952).

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

249216799255776 is an equidigital number, since it uses as much as digits as its factorization.

249216799255776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 587 counting only the distinct ones).

The product of its digits is 7201353600, while the sum is 81.

The spelling of 249216799255776 in words is "two hundred forty-nine trillion, two hundred sixteen billion, seven hundred ninety-nine million, two hundred fifty-five thousand, seven hundred seventy-six".