244919996006400 has 6075 divisors, whose sum is σ = 1139754857174703. Its totient is φ = 51922678579200.

The previous prime is 244919996006393. The next prime is 244919996006407. The reversal of 244919996006400 is 4600699919442.

The square root of 244919996006400 is 15649920.

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

244919996006400 is a `hidden beast` number, since 2 + 4 + 4 + 9 + 19 + 9 + 9 + 600 + 6 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (244919996006393) and next prime (244919996006407).

It can be written as a sum of positive squares in 4 ways, for example, as 63128491278336 + 181791504728064 = 7945344^2 + 13483008^2 .

It is not an unprimeable number, because it can be changed into a prime (244919996006407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 12890526105591 + ... + 12890526105609.

Almost surely, 2^{244919996006400} is an apocalyptic number.

244919996006400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

244919996006400 is the 15649920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244919996006400

244919996006400 is an abundant number, since it is smaller than the sum of its proper divisors (894834861168303).

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

244919996006400 is a wasteful number, since it uses less digits than its factorization.

244919996006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 244919996006400 in words is "two hundred forty-four trillion, nine hundred nineteen billion, nine hundred ninety-six million, six thousand, four hundred".