200648518201824 has 1536 divisors, whose sum is σ = 714365498327040. Its totient is φ = 48127307120640.

The previous prime is 200648518201697. The next prime is 200648518201829. The reversal of 200648518201824 is 428102815846002.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200648518201829) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 218333534037 + ... + 218333534955.

It is an arithmetic number, because the mean of its divisors is an integer number (465081704640).

Almost surely, 2^{200648518201824} is an apocalyptic number.

200648518201824 is a gapful number since it is divisible by the number (24) 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 200648518201824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357182749163520).

200648518201824 is an abundant number, since it is smaller than the sum of its proper divisors (513716980125216).

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

200648518201824 is a wasteful number, since it uses less digits than its factorization.

200648518201824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 51.

The spelling of 200648518201824 in words is "two hundred trillion, six hundred forty-eight billion, five hundred eighteen million, two hundred one thousand, eight hundred twenty-four".