200152539648 has 600 divisors, whose sum is σ = 653655936780. Its totient is φ = 60894167040.

The previous prime is 200152539641. The next prime is 200152539649. The reversal of 200152539648 is 846935251002.

200152539648 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 52 + 539 + 64 + 8 = 666.

200152539648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 198887457024 + 1265082624 = 445968^2 + 35568^2 .

It is a super-2 number, since 2×200152539648² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200152539641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 434170138 + ... + 434170598.

Almost surely, 2^200152539648 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 200152539648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326827968390).

200152539648 is an abundant number, since it is smaller than the sum of its proper divisors (453503397132).

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

200152539648 is an equidigital number, since it uses as much as digits as its factorization.

200152539648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 200152539648 in words is "two hundred billion, one hundred fifty-two million, five hundred thirty-nine thousand, six hundred forty-eight".