108466609680000 has 2560 divisors, whose sum is σ = 486212237280000. Its totient is φ = 23433338880000.

The previous prime is 108466609679983. The next prime is 108466609680043. The reversal of 108466609680000 is 86906664801.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 8957513946 + ... + 8957526054.

Almost surely, 2^{108466609680000} is an apocalyptic number.

108466609680000 is a gapful number since it is divisible by the number (10) 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 108466609680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243106118640000).

108466609680000 is an abundant number, since it is smaller than the sum of its proper divisors (377745627600000).

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

108466609680000 is a wasteful number, since it uses less digits than its factorization.

108466609680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12205 (or 12172 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 108466609680000 in words is "one hundred eight trillion, four hundred sixty-six billion, six hundred nine million, six hundred eighty thousand".