249897703287232 has 1792 divisors, whose sum is σ = 753779182141440. Its totient is φ = 79009136640000.

The previous prime is 249897703287209. The next prime is 249897703287259. The reversal of 249897703287232 is 232782307798942.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 99126418132 + ... + 99126420652.

It is an arithmetic number, because the mean of its divisors is an integer number (420635704320).

Almost surely, 2^{249897703287232} is an apocalyptic number.

249897703287232 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 249897703287232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376889591070720).

249897703287232 is an abundant number, since it is smaller than the sum of its proper divisors (503881478854208).

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

249897703287232 is a wasteful number, since it uses less digits than its factorization.

249897703287232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 73.

The spelling of 249897703287232 in words is "two hundred forty-nine trillion, eight hundred ninety-seven billion, seven hundred three million, two hundred eighty-seven thousand, two hundred thirty-two".