219309429906 has 288 divisors, whose sum is σ = 597410731008. Its totient is φ = 59058447840.

The previous prime is 219309429853. The next prime is 219309429923. The reversal of 219309429906 is 609924903912.

219309429906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 347558211 + ... + 347558841.

It is an arithmetic number, because the mean of its divisors is an integer number (2074342816).

Almost surely, 2^219309429906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219309429906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298705365504).

219309429906 is an abundant number, since it is smaller than the sum of its proper divisors (378101301102).

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

219309429906 is a wasteful number, since it uses less digits than its factorization.

219309429906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 219309429906 in words is "two hundred nineteen billion, three hundred nine million, four hundred twenty-nine thousand, nine hundred six".