9206225618688 has 216 divisors, whose sum is σ = 30338498307936. Its totient is φ = 2630115532800.

The previous prime is 9206225618687. The next prime is 9206225618699. The reversal of 9206225618688 is 8868165226029.

9206225618688 is a `hidden beast` number, since 9 + 2 + 0 + 6 + 2 + 2 + 5 + 618 + 6 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9206225618687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268691478 + ... + 268725738.

Almost surely, 2^{9206225618688} 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 9206225618688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15169249153968).

9206225618688 is an abundant number, since it is smaller than the sum of its proper divisors (21132272689248).

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

9206225618688 is a wasteful number, since it uses less digits than its factorization.

9206225618688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50951 (or 50934 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 9206225618688 in words is "nine trillion, two hundred six billion, two hundred twenty-five million, six hundred eighteen thousand, six hundred eighty-eight".