66108611301408 has 288 divisors, whose sum is σ = 206101814143680. Its totient is φ = 19975688202240.

The previous prime is 66108611301391. The next prime is 66108611301443. The reversal of 66108611301408 is 80410311680166.

66108611301408 is a `hidden beast` number, since 6 + 6 + 10 + 8 + 611 + 3 + 0 + 14 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 214335910 + ... + 214644122.

It is an arithmetic number, because the mean of its divisors is an integer number (715631299110).

Almost surely, 2^{66108611301408} 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 66108611301408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103050907071840).

66108611301408 is an abundant number, since it is smaller than the sum of its proper divisors (139993202842272).

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

66108611301408 is a wasteful number, since it uses less digits than its factorization.

66108611301408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309272 (or 309261 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 66108611301408 in words is "sixty-six trillion, one hundred eight billion, six hundred eleven million, three hundred one thousand, four hundred eight".