249243052032 has 288 divisors, whose sum is σ = 785908305000. Its totient is φ = 75634311168.

The previous prime is 249243052027. The next prime is 249243052039. The reversal of 249243052032 is 230250342942.

249243052032 is a `hidden beast` number, since 2 + 4 + 92 + 43 + 0 + 520 + 3 + 2 = 666.

249243052032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 205404742656 + 43838309376 = 453216^2 + 209376^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (249243052039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17484844 + ... + 17499092.

Almost surely, 2^249243052032 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 249243052032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392954152500).

249243052032 is an abundant number, since it is smaller than the sum of its proper divisors (536665252968).

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

249243052032 is a wasteful number, since it uses less digits than its factorization.

249243052032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14363 (or 14340 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 249243052032 its reverse (230250342942), we get a palindrome (479493394974).

The spelling of 249243052032 in words is "two hundred forty-nine billion, two hundred forty-three million, fifty-two thousand, thirty-two".