200451069000 has 1152 divisors, whose sum is σ = 854000858880. Its totient is φ = 41513472000.

The previous prime is 200451068999. The next prime is 200451069017. The reversal of 200451069000 is 960154002.

200451069000 is a `hidden beast` number, since 200 + 451 + 0 + 6 + 9 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×200451069000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 713348860 + ... + 713349140.

It is an arithmetic number, because the mean of its divisors is an integer number (741320190).

Almost surely, 2^200451069000 is an apocalyptic number.

200451069000 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 200451069000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427000429440).

200451069000 is an abundant number, since it is smaller than the sum of its proper divisors (653549789880).

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

200451069000 is a wasteful number, since it uses less digits than its factorization.

200451069000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 200451069000 in words is "two hundred billion, four hundred fifty-one million, sixty-nine thousand".