249241693344 has 384 divisors, whose sum is σ = 798024794112. Its totient is φ = 66614123520.

The previous prime is 249241693333. The next prime is 249241693357. The reversal of 249241693344 is 443396142942.

249241693344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81264099 + ... + 81267165.

It is an arithmetic number, because the mean of its divisors is an integer number (2078189568).

Almost surely, 2^249241693344 is an apocalyptic number.

249241693344 is a gapful number since it is divisible by the number (24) 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 249241693344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399012397056).

249241693344 is an abundant number, since it is smaller than the sum of its proper divisors (548783100768).

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

249241693344 is a wasteful number, since it uses less digits than its factorization.

249241693344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 3240 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 51.

The spelling of 249241693344 in words is "two hundred forty-nine billion, two hundred forty-one million, six hundred ninety-three thousand, three hundred forty-four".