201450883200 has 768 divisors, whose sum is σ = 779011568640. Its totient is φ = 44808192000.

The previous prime is 201450883171. The next prime is 201450883313. The reversal of 201450883200 is 2388054102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 454742179 + ... + 454742621.

It is an arithmetic number, because the mean of its divisors is an integer number (1014337980).

Almost surely, 2^201450883200 is an apocalyptic number.

201450883200 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 201450883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389505784320).

201450883200 is an abundant number, since it is smaller than the sum of its proper divisors (577560685440).

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

201450883200 is a wasteful number, since it uses less digits than its factorization.

201450883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 201450883200 in words is "two hundred one billion, four hundred fifty million, eight hundred eighty-three thousand, two hundred".