209462228640 has 1008 divisors, whose sum is σ = 877558927392. Its totient is φ = 47076277248.

The previous prime is 209462228629. The next prime is 209462228641. The reversal of 209462228640 is 46822264902.

209462228640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (209462228641) 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 167 ways as a sum of consecutive naturals, for example, 382928847 + ... + 382929393.

It is an arithmetic number, because the mean of its divisors is an integer number (870594174).

Almost surely, 2^209462228640 is an apocalyptic number.

209462228640 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 209462228640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438779463696).

209462228640 is an abundant number, since it is smaller than the sum of its proper divisors (668096698752).

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

209462228640 is an equidigital number, since it uses as much as digits as its factorization.

209462228640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 209462228640 in words is "two hundred nine billion, four hundred sixty-two million, two hundred twenty-eight thousand, six hundred forty".