208446125940 has 288 divisors, whose sum is σ = 723819227040. Its totient is φ = 48101326848.

The previous prime is 208446125933. The next prime is 208446125941. The reversal of 208446125940 is 49521644802.

It is a happy number.

208446125940 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 46 + 12 + 594 + 0 = 666.

208446125940 is digitally balanced in base 2, 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 16 ways, for example, as 2355549156 + 206090576784 = 48534^2 + 453972^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208446125941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10213266 + ... + 10233654.

It is an arithmetic number, because the mean of its divisors is an integer number (2513261205).

Almost surely, 2^208446125940 is an apocalyptic number.

208446125940 is a gapful number since it is divisible by the number (20) 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 208446125940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361909613520).

208446125940 is an abundant number, since it is smaller than the sum of its proper divisors (515373101100).

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

208446125940 is a wasteful number, since it uses less digits than its factorization.

208446125940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20691 (or 20686 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 208446125940 in words is "two hundred eight billion, four hundred forty-six million, one hundred twenty-five thousand, nine hundred forty".