66104155153314 has 144 divisors (see below), whose sum is σ = 156741359523840. Its totient is φ = 20084411571840.

The previous prime is 66104155153313. The next prime is 66104155153363. The reversal of 66104155153314 is 41335155140166.

66104155153314 is a `hidden beast` number, since 6 + 6 + 1 + 0 + 41 + 551 + 53 + 3 + 1 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 66104155153314.

It is not an unprimeable number, because it can be changed into a prime (66104155153313) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30331807 + ... + 32438045.

It is an arithmetic number, because the mean of its divisors is an integer number (1088481663360).

Almost surely, 2^{66104155153314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66104155153314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78370679761920).

66104155153314 is an abundant number, since it is smaller than the sum of its proper divisors (90637204370526).

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

66104155153314 is a wasteful number, since it uses less digits than its factorization.

66104155153314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106397 (or 2106351 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 66104155153314 in words is "sixty-six trillion, one hundred four billion, one hundred fifty-five million, one hundred fifty-three thousand, three hundred fourteen".