200044971108864 has 800 divisors, whose sum is σ = 687983141260800. Its totient is φ = 56687926837248.

The previous prime is 200044971108859. The next prime is 200044971108907. The reversal of 200044971108864 is 468801179440002.

200044971108864 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 4 + 497 + 1 + 10 + 88 + 64 = 666.

It is a super-3 number, since 3×200044971108864³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 200044971108864.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21746377737 + ... + 21746386935.

It is an arithmetic number, because the mean of its divisors is an integer number (859978926576).

Almost surely, 2^{200044971108864} is an apocalyptic number.

200044971108864 is a gapful number since it is divisible by the number (24) 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 200044971108864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343991570630400).

200044971108864 is an abundant number, since it is smaller than the sum of its proper divisors (487938170151936).

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

200044971108864 is an equidigital number, since it uses as much as digits as its factorization.

200044971108864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9842 (or 9817 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 200044971108864 in words is "two hundred trillion, forty-four billion, nine hundred seventy-one million, one hundred eight thousand, eight hundred sixty-four".