249774700032 has 960 divisors, whose sum is σ = 893335322880. Its totient is φ = 68677632000.

The previous prime is 249774700031. The next prime is 249774700033. The reversal of 249774700032 is 230007477942.

249774700032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249774700031) and next prime (249774700033).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249774700031) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1796940219 + ... + 1796940357.

It is an arithmetic number, because the mean of its divisors is an integer number (930557628).

Almost surely, 2^249774700032 is an apocalyptic number.

249774700032 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 249774700032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446667661440).

249774700032 is an abundant number, since it is smaller than the sum of its proper divisors (643560622848).

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

249774700032 is a wasteful number, since it uses less digits than its factorization.

249774700032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 249774700032 in words is "two hundred forty-nine billion, seven hundred seventy-four million, seven hundred thousand, thirty-two".