249785012736 has 320 divisors, whose sum is σ = 872275599360. Its totient is φ = 69064151040.

The previous prime is 249785012707. The next prime is 249785012759. The reversal of 249785012736 is 637210587942.

It is a happy number.

249785012736 is a `hidden beast` number, since 2 + 49 + 78 + 501 + 27 + 3 + 6 = 666.

249785012736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2958175 + ... + 3041441.

It is an arithmetic number, because the mean of its divisors is an integer number (2725861248).

It is a 1-persistent number, because it is pandigital, but 2⋅249785012736 = 499570025472 is not.

Almost surely, 2^249785012736 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 249785012736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436137799680).

249785012736 is an abundant number, since it is smaller than the sum of its proper divisors (622490586624).

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

249785012736 is an equidigital number, since it uses as much as digits as its factorization.

249785012736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83332 (or 83310 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 249785012736 in words is "two hundred forty-nine billion, seven hundred eighty-five million, twelve thousand, seven hundred thirty-six".