200739145684896 has 2304 divisors, whose sum is σ = 799619575652352. Its totient is φ = 46266030489600.

The previous prime is 200739145684877. The next prime is 200739145684963. The reversal of 200739145684896 is 698486541937002.

200739145684896 is a `hidden beast` number, since 2 + 0 + 0 + 7 + 3 + 9 + 1 + 456 + 84 + 8 + 96 = 666.

It is a super-2 number, since 2×200739145684896² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 37305172126 + ... + 37305177506.

It is an arithmetic number, because the mean of its divisors is an integer number (347057107488).

It is a 1-persistent number, because it is pandigital, but 2⋅200739145684896 = 401478291369792 is not.

Almost surely, 2^{200739145684896} is an apocalyptic number.

200739145684896 is a gapful number since it is divisible by the number (26) 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 200739145684896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399809787826176).

200739145684896 is an abundant number, since it is smaller than the sum of its proper divisors (598880429967456).

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

200739145684896 is a wasteful number, since it uses less digits than its factorization.

200739145684896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5575 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 200739145684896 in words is "two hundred trillion, seven hundred thirty-nine billion, one hundred forty-five million, six hundred eighty-four thousand, eight hundred ninety-six".