249282745344 has 352 divisors, whose sum is σ = 774355536000. Its totient is φ = 79111323648.

The previous prime is 249282745339. The next prime is 249282745357. The reversal of 249282745344 is 443547282942.

249282745344 is a `hidden beast` number, since 2 + 4 + 9 + 28 + 274 + 5 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58528687 + ... + 58532945.

Almost surely, 2^249282745344 is an apocalyptic number.

249282745344 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 249282745344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387177768000).

249282745344 is an abundant number, since it is smaller than the sum of its proper divisors (525072790656).

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

249282745344 is a wasteful number, since it uses less digits than its factorization.

249282745344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4366 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 249282745344 in words is "two hundred forty-nine billion, two hundred eighty-two million, seven hundred forty-five thousand, three hundred forty-four".