200461360896 has 432 divisors, whose sum is σ = 612473971200. Its totient is φ = 65381105664.

The previous prime is 200461360871. The next prime is 200461360919. The reversal of 200461360896 is 698063164002.

200461360896 is a `hidden beast` number, since 20 + 0 + 4 + 6 + 13 + 608 + 9 + 6 = 666.

200461360896 is digitally balanced in base 2, 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 (432).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 838750345 + ... + 838750583.

Almost surely, 2^200461360896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200461360896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306236985600).

200461360896 is an abundant number, since it is smaller than the sum of its proper divisors (412012610304).

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

200461360896 is an equidigital number, since it uses as much as digits as its factorization.

200461360896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 200461360896 in words is "two hundred billion, four hundred sixty-one million, three hundred sixty thousand, eight hundred ninety-six".