249722449530752 has 256 divisors, whose sum is σ = 581534875008000. Its totient is φ = 105618912215040.

The previous prime is 249722449530703. The next prime is 249722449530797. The reversal of 249722449530752 is 257035944227942.

It is a happy number.

It is a super-2 number, since 2×249722449530752² (a number of 30 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 466474628 + ... + 467009660.

It is an arithmetic number, because the mean of its divisors is an integer number (2271620605500).

Almost surely, 2^{249722449530752} is an apocalyptic number.

249722449530752 is a gapful number since it is divisible by the number (22) 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 249722449530752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290767437504000).

249722449530752 is an abundant number, since it is smaller than the sum of its proper divisors (331812425477248).

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

249722449530752 is a wasteful number, since it uses less digits than its factorization.

249722449530752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535389 (or 535377 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 65.

The spelling of 249722449530752 in words is "two hundred forty-nine trillion, seven hundred twenty-two billion, four hundred forty-nine million, five hundred thirty thousand, seven hundred fifty-two".