249200640000 has 855 divisors, whose sum is σ = 974124721713. Its totient is φ = 61341696000.

The previous prime is 249200639923. The next prime is 249200640083. The reversal of 249200640000 is 46002942.

The square root of 249200640000 is 499200.

It is a perfect power (a square), and thus also a powerful number.

249200640000 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 7 ways, for example, as 246142992384 + 3057647616 = 496128^2 + 55296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 19169279994 + ... + 19169280006.

Almost surely, 2^249200640000 is an apocalyptic number.

249200640000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

249200640000 is the 499200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249200640000

249200640000 is an abundant number, since it is smaller than the sum of its proper divisors (724924081713).

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

249200640000 is an frugal number, since it uses more digits than its factorization.

249200640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 249200640000 its reverse (46002942), we get a palindrome (249246642942).

The spelling of 249200640000 in words is "two hundred forty-nine billion, two hundred million, six hundred forty thousand".