201983947200 has 1008 divisors, whose sum is σ = 870309566464. Its totient is φ = 43446067200.

The previous prime is 201983947147. The next prime is 201983947211. The reversal of 201983947200 is 2749389102.

201983947200 is a `hidden beast` number, since 2 + 0 + 198 + 394 + 72 + 0 + 0 = 666.

201983947200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 115616727 + ... + 115618473.

Almost surely, 2^201983947200 is an apocalyptic number.

201983947200 is a gapful number since it is divisible by the number (20) 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 201983947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435154783232).

201983947200 is an abundant number, since it is smaller than the sum of its proper divisors (668325619264).

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

201983947200 is a wasteful number, since it uses less digits than its factorization.

201983947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 201983947200 in words is "two hundred one billion, nine hundred eighty-three million, nine hundred forty-seven thousand, two hundred".