108668463200 has 288 divisors, whose sum is σ = 305676685440. Its totient is φ = 37308211200.

The previous prime is 108668463179. The next prime is 108668463221. The reversal of 108668463200 is 2364866801.

It is a Cunningham number, because it is equal to 329649²-1.

It is an interprime number because it is at equal distance from previous prime (108668463179) and next prime (108668463221).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58017464 + ... + 58019336.

It is an arithmetic number, because the mean of its divisors is an integer number (1061377380).

Almost surely, 2^108668463200 is an apocalyptic number.

108668463200 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 108668463200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152838342720).

108668463200 is an abundant number, since it is smaller than the sum of its proper divisors (197008222240).

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

108668463200 is a wasteful number, since it uses less digits than its factorization.

108668463200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 108668463200 in words is "one hundred eight billion, six hundred sixty-eight million, four hundred sixty-three thousand, two hundred".