249232385382912 has 320 divisors, whose sum is σ = 785107276525440. Its totient is φ = 77793631469568.

The previous prime is 249232385382901. The next prime is 249232385382913. The reversal of 249232385382912 is 219283583232942.

It is a happy number.

249232385382912 is a `hidden beast` number, since 2 + 4 + 9 + 2 + 3 + 2 + 3 + 8 + 538 + 2 + 91 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 249232385382912.

It is not an unprimeable number, because it can be changed into a prime (249232385382913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43604883 + ... + 48988269.

It is an arithmetic number, because the mean of its divisors is an integer number (2453460239142).

Almost surely, 2^{249232385382912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249232385382912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392553638262720).

249232385382912 is an abundant number, since it is smaller than the sum of its proper divisors (535874891142528).

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

249232385382912 is a wasteful number, since it uses less digits than its factorization.

249232385382912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5383628 (or 5383606 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 249232385382912 in words is "two hundred forty-nine trillion, two hundred thirty-two billion, three hundred eighty-five million, three hundred eighty-two thousand, nine hundred twelve".