207229382016 has 256 divisors, whose sum is σ = 588518784000. Its totient is φ = 64382861312.

The previous prime is 207229381993. The next prime is 207229382027. The reversal of 207229382016 is 610283922702.

207229382016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 494580655 + ... + 494581073.

It is an arithmetic number, because the mean of its divisors is an integer number (2298901500).

Almost surely, 2^207229382016 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 207229382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294259392000).

207229382016 is an abundant number, since it is smaller than the sum of its proper divisors (381289401984).

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

207229382016 is a wasteful number, since it uses less digits than its factorization.

207229382016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 207229382016 in words is "two hundred seven billion, two hundred twenty-nine million, three hundred eighty-two thousand, sixteen".