9206816726016 has 2112 divisors, whose sum is σ = 35845298012160. Its totient is φ = 2209575075840.

The previous prime is 9206816725961. The next prime is 9206816726053. The reversal of 9206816726016 is 6106276186029.

9206816726016 is a `hidden beast` number, since 9 + 20 + 6 + 8 + 1 + 6 + 7 + 2 + 601 + 6 = 666.

It is a super-2 number, since 2×9206816726016² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53218593706 + ... + 53218593878.

Almost surely, 2^{9206816726016} is an apocalyptic number.

9206816726016 is a gapful number since it is divisible by the number (96) 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 9206816726016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922649006080).

9206816726016 is an abundant number, since it is smaller than the sum of its proper divisors (26638481286144).

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

9206816726016 is a wasteful number, since it uses less digits than its factorization.

9206816726016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 9206816726016 in words is "nine trillion, two hundred six billion, eight hundred sixteen million, seven hundred twenty-six thousand, sixteen".