249442800768 has 192 divisors, whose sum is σ = 820705953600. Its totient is φ = 71237597184.

The previous prime is 249442800757. The next prime is 249442800773. The reversal of 249442800768 is 867008244942.

249442800768 is a `hidden beast` number, since 2 + 494 + 4 + 2 + 80 + 0 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22726930 + ... + 22737902.

It is an arithmetic number, because the mean of its divisors is an integer number (4274510175).

Almost surely, 2^249442800768 is an apocalyptic number.

249442800768 is a gapful number since it is divisible by the number (28) 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 249442800768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410352976800).

249442800768 is an abundant number, since it is smaller than the sum of its proper divisors (571263152832).

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

249442800768 is a wasteful number, since it uses less digits than its factorization.

249442800768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13819 (or 13804 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 249442800768 in words is "two hundred forty-nine billion, four hundred forty-two million, eight hundred thousand, seven hundred sixty-eight".