108666589796352 has 1440 divisors, whose sum is σ = 406711333828800. Its totient is φ = 28727722082304.

The previous prime is 108666589796351. The next prime is 108666589796363. The reversal of 108666589796352 is 253697985666801.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108666589796351) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6640986123 + ... + 6641002485.

It is an arithmetic number, because the mean of its divisors is an integer number (282438426270).

Almost surely, 2^{108666589796352} is an apocalyptic number.

108666589796352 is a gapful number since it is divisible by the number (12) 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 108666589796352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203355666914400).

108666589796352 is an abundant number, since it is smaller than the sum of its proper divisors (298044744032448).

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

108666589796352 is a wasteful number, since it uses less digits than its factorization.

108666589796352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16473 (or 16437 counting only the distinct ones).

The product of its (nonzero) digits is 7054387200, while the sum is 81.

The spelling of 108666589796352 in words is "one hundred eight trillion, six hundred sixty-six billion, five hundred eighty-nine million, seven hundred ninety-six thousand, three hundred fifty-two".