249946768000 has 128 divisors (see below), whose sum is σ = 631619997840. Its totient is φ = 98339328000.

The previous prime is 249946767989. The next prime is 249946768033. The reversal of 249946768000 is 867649942.

249946768000 = 1570³ + 1571³ + ... + 1630³.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 51579860544 + 198366907456 = 227112^2 + 445384^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 847954 + ... + 1104046.

Almost surely, 2^249946768000 is an apocalyptic number.

249946768000 is a gapful number since it is divisible by the number (20) 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 249946768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315809998920).

249946768000 is an abundant number, since it is smaller than the sum of its proper divisors (381673229840).

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

249946768000 is an equidigital number, since it uses as much as digits as its factorization.

249946768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256183 (or 256161 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 249946768000 in words is "two hundred forty-nine billion, nine hundred forty-six million, seven hundred sixty-eight thousand".