244134810000 has 675 divisors, whose sum is σ = 901339286133. Its totient is φ = 64035360000.

The previous prime is 244134809977. The next prime is 244134810019. The reversal of 244134810000 is 18431442.

The square root of 244134810000 is 494100.

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

It can be written as a sum of positive squares in 7 ways, for example, as 241580114064 + 2554695936 = 491508^2 + 50544^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a super-2 number, since 2×244134810000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 4002209970 + ... + 4002210030.

Almost surely, 2^244134810000 is an apocalyptic number.

244134810000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

244134810000 is the 494100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244134810000

244134810000 is an abundant number, since it is smaller than the sum of its proper divisors (657204476133).

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

244134810000 is an frugal number, since it uses more digits than its factorization.

244134810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 244134810000 in words is "two hundred forty-four billion, one hundred thirty-four million, eight hundred ten thousand".