9165956865408 has 768 divisors, whose sum is σ = 31815101030400. Its totient is φ = 2590182862848.

The previous prime is 9165956865379. The next prime is 9165956865409. The reversal of 9165956865408 is 8045686595619.

It is a happy number.

9165956865408 is a `hidden beast` number, since 9 + 1 + 6 + 5 + 9 + 568 + 6 + 54 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9165956865409) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 12108264966 + ... + 12108265722.

It is an arithmetic number, because the mean of its divisors is an integer number (41425912800).

Almost surely, 2^{9165956865408} is an apocalyptic number.

9165956865408 is a gapful number since it is divisible by the number (98) 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 9165956865408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15907550515200).

9165956865408 is an abundant number, since it is smaller than the sum of its proper divisors (22649144164992).

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

9165956865408 is a wasteful number, since it uses less digits than its factorization.

9165956865408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 559872000, while the sum is 72.

The spelling of 9165956865408 in words is "nine trillion, one hundred sixty-five billion, nine hundred fifty-six million, eight hundred sixty-five thousand, four hundred eight".