249398328654720 has 1536 divisors, whose sum is σ = 1045885055385600. Its totient is φ = 55994067763200.

The previous prime is 249398328654661. The next prime is 249398328654731. The reversal of 249398328654720 is 27456823893942.

249398328654720 is a `hidden beast` number, since 2 + 4 + 9 + 3 + 98 + 3 + 2 + 8 + 65 + 472 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 10860865959 + ... + 10860888921.

It is an arithmetic number, because the mean of its divisors is an integer number (680914749600).

Almost surely, 2^{249398328654720} is an apocalyptic number.

249398328654720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249398328654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522942527692800).

249398328654720 is an abundant number, since it is smaller than the sum of its proper divisors (796486726730880).

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

249398328654720 is a wasteful number, since it uses less digits than its factorization.

249398328654720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23233 (or 23208 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 249398328654720 in words is "two hundred forty-nine trillion, three hundred ninety-eight billion, three hundred twenty-eight million, six hundred fifty-four thousand, seven hundred twenty".