200445352201800 has 576 divisors, whose sum is σ = 723923118871680. Its totient is φ = 51502468515840.

The previous prime is 200445352201771. The next prime is 200445352201807. The reversal of 200445352201800 is 8102253544002.

200445352201800 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 4 + 53 + 522 + 0 + 1 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (200445352201807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 184673484 + ... + 185755716.

Almost surely, 2^{200445352201800} is an apocalyptic number.

200445352201800 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 200445352201800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361961559435840).

200445352201800 is an abundant number, since it is smaller than the sum of its proper divisors (523477766669880).

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

200445352201800 is a wasteful number, since it uses less digits than its factorization.

200445352201800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082404 (or 1082383 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 200445352201800 in words is "two hundred trillion, four hundred forty-five billion, three hundred fifty-two million, two hundred one thousand, eight hundred".