866829235274016 has 384 divisors, whose sum is σ = 2767408317628416. Its totient is φ = 232311807959040.

The previous prime is 866829235273957. The next prime is 866829235274033. The reversal of 866829235274016 is 610472532928668.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200578156 + ... + 204854228.

It is an arithmetic number, because the mean of its divisors is an integer number (7206792493824).

It is a 1-persistent number, because it is pandigital, but 2⋅866829235274016 = 1733658470548032 is not.

Almost surely, 2^{866829235274016} 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 866829235274016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383704158814208).

866829235274016 is an abundant number, since it is smaller than the sum of its proper divisors (1900579082354400).

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

866829235274016 is a wasteful number, since it uses less digits than its factorization.

866829235274016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4276424 (or 4276416 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 69.

The spelling of 866829235274016 in words is "eight hundred sixty-six trillion, eight hundred twenty-nine billion, two hundred thirty-five million, two hundred seventy-four thousand, sixteen".