249936791448960 has 2304 divisors, whose sum is σ = 1197873649889280. Its totient is φ = 46754351677440.

The previous prime is 249936791448959. The next prime is 249936791448973. The reversal of 249936791448960 is 69844197639942.

249936791448960 is a `hidden beast` number, since 2 + 4 + 9 + 9 + 3 + 6 + 79 + 1 + 4 + 489 + 60 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 249936791448960.

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 287 ways as a sum of consecutive naturals, for example, 1907514009 + ... + 1907645031.

It is an arithmetic number, because the mean of its divisors is an integer number (519910438320).

Almost surely, 2^{249936791448960} is an apocalyptic number.

249936791448960 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 249936791448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598936824944640).

249936791448960 is an abundant number, since it is smaller than the sum of its proper divisors (947936858440320).

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

249936791448960 is a wasteful number, since it uses less digits than its factorization.

249936791448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131117 (or 131091 counting only the distinct ones).

The product of its (nonzero) digits is 5079158784, while the sum is 81.

The spelling of 249936791448960 in words is "two hundred forty-nine trillion, nine hundred thirty-six billion, seven hundred ninety-one million, four hundred forty-eight thousand, nine hundred sixty".