244547029309968 has 1440 divisors, whose sum is σ = 957279443527680. Its totient is φ = 56769901056000.

The previous prime is 244547029309903. The next prime is 244547029309993. The reversal of 244547029309968 is 869903920745442.

244547029309968 is a `hidden beast` number, since 2 + 4 + 4 + 5 + 470 + 2 + 9 + 3 + 0 + 99 + 68 = 666.

It is a super-2 number, since 2×244547029309968² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 244547029309896 and 244547029309905.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 3890869743 + ... + 3890932593.

Almost surely, 2^{244547029309968} is an apocalyptic number.

244547029309968 is a gapful number since it is divisible by the number (28) 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 244547029309968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478639721763840).

244547029309968 is an abundant number, since it is smaller than the sum of its proper divisors (712732414217712).

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

244547029309968 is a wasteful number, since it uses less digits than its factorization.

244547029309968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63009 (or 62989 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 244547029309968 in words is "two hundred forty-four trillion, five hundred forty-seven billion, twenty-nine million, three hundred nine thousand, nine hundred sixty-eight".