249604023536 has 120 divisors (see below), whose sum is σ = 570557232000. Its totient is φ = 105458806656.

The previous prime is 249604023499. The next prime is 249604023577. The reversal of 249604023536 is 635320406942.

It is a happy number.

249604023536 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32467085 + ... + 32474771.

It is an arithmetic number, because the mean of its divisors is an integer number (4754643600).

Almost surely, 2^249604023536 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 249604023536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285278616000).

249604023536 is an abundant number, since it is smaller than the sum of its proper divisors (320953208464).

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

249604023536 is a wasteful number, since it uses less digits than its factorization.

249604023536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8291 (or 8278 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 44.

The spelling of 249604023536 in words is "two hundred forty-nine billion, six hundred four million, twenty-three thousand, five hundred thirty-six".