244600005312 has 392 divisors, whose sum is σ = 809057137280. Its totient is φ = 72828149760.

The previous prime is 244600005277. The next prime is 244600005337. The reversal of 244600005312 is 213500006442.

244600005312 is a `hidden beast` number, since 2 + 4 + 4 + 600 + 0 + 0 + 53 + 1 + 2 = 666.

244600005312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 18795864 + ... + 18808872.

Almost surely, 2^244600005312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244600005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404528568640).

244600005312 is an abundant number, since it is smaller than the sum of its proper divisors (564457131968).

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

244600005312 is a wasteful number, since it uses less digits than its factorization.

244600005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13083 (or 13058 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 244600005312 in words is "two hundred forty-four billion, six hundred million, five thousand, three hundred twelve".