200913129648 has 600 divisors, whose sum is σ = 744345979344. Its totient is φ = 52163274240.

The previous prime is 200913129631. The next prime is 200913129673. The reversal of 200913129648 is 846921319002.

200913129648 is a `hidden beast` number, since 200 + 9 + 1 + 312 + 96 + 48 = 666.

200913129648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 84522636 + ... + 84525012.

Almost surely, 2^200913129648 is an apocalyptic number.

200913129648 is a gapful number since it is divisible by the number (28) 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 200913129648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372172989672).

200913129648 is an abundant number, since it is smaller than the sum of its proper divisors (543432849696).

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

200913129648 is a wasteful number, since it uses less digits than its factorization.

200913129648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 200913129648 in words is "two hundred billion, nine hundred thirteen million, one hundred twenty-nine thousand, six hundred forty-eight".