210001201648 has 80 divisors (see below), whose sum is σ = 479981779200. Its totient is φ = 87134860800.

The previous prime is 210001201643. The next prime is 210001201649. The reversal of 210001201648 is 846102100012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210001201643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427003 + ... + 776101.

It is an arithmetic number, because the mean of its divisors is an integer number (5999772240).

Almost surely, 2^210001201648 is an apocalyptic number.

210001201648 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 210001201648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239990889600).

210001201648 is an abundant number, since it is smaller than the sum of its proper divisors (269980577552).

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

210001201648 is a wasteful number, since it uses less digits than its factorization.

210001201648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349286 (or 349280 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The spelling of 210001201648 in words is "two hundred ten billion, one million, two hundred one thousand, six hundred forty-eight".