200347982119824 has 480 divisors, whose sum is σ = 673215546447360. Its totient is φ = 50739278284800.

The previous prime is 200347982119801. The next prime is 200347982119829. The reversal of 200347982119824 is 428911289743002.

It is not an unprimeable number, because it can be changed into a prime (200347982119829) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1827620887 + ... + 1827730505.

It is an arithmetic number, because the mean of its divisors is an integer number (1402532388432).

Almost surely, 2^{200347982119824} is an apocalyptic number.

200347982119824 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 200347982119824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336607773223680).

200347982119824 is an abundant number, since it is smaller than the sum of its proper divisors (472867564327536).

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

200347982119824 is a wasteful number, since it uses less digits than its factorization.

200347982119824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111419 (or 111406 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 200347982119824 in words is "two hundred trillion, three hundred forty-seven billion, nine hundred eighty-two million, one hundred nineteen thousand, eight hundred twenty-four".