244201828000368 has 160 divisors (see below), whose sum is σ = 722664753479680. Its totient is φ = 69608623138560.

The previous prime is 244201828000357. The next prime is 244201828000393. The reversal of 244201828000368 is 863000828102442.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2872007871 + ... + 2872092897.

It is an arithmetic number, because the mean of its divisors is an integer number (4516654709248).

Almost surely, 2^{244201828000368} is an apocalyptic number.

244201828000368 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 244201828000368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361332376739840).

244201828000368 is an abundant number, since it is smaller than the sum of its proper divisors (478462925479312).

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

244201828000368 is a wasteful number, since it uses less digits than its factorization.

244201828000368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104955 (or 104949 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 244201828000368 in words is "two hundred forty-four trillion, two hundred one billion, eight hundred twenty-eight million, three hundred sixty-eight", and thus it is an aban number.