249171121056 has 384 divisors, whose sum is σ = 833500668672. Its totient is φ = 63995904000.

The previous prime is 249171120929. The next prime is 249171121063. The reversal of 249171121056 is 650121171942.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9555396 + ... + 9581436.

It is an arithmetic number, because the mean of its divisors is an integer number (2170574658).

Almost surely, 2^249171121056 is an apocalyptic number.

249171121056 is a gapful number since it is divisible by the number (26) 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 249171121056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416750334336).

249171121056 is an abundant number, since it is smaller than the sum of its proper divisors (584329547616).

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

249171121056 is a wasteful number, since it uses less digits than its factorization.

249171121056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26136 (or 26128 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

Adding to 249171121056 its reverse (650121171942), we get a palindrome (899292292998).

The spelling of 249171121056 in words is "two hundred forty-nine billion, one hundred seventy-one million, one hundred twenty-one thousand, fifty-six".