66124081218 has 64 divisors (see below), whose sum is σ = 147310313472. Its totient is φ = 19650047040.

The previous prime is 66124081217. The next prime is 66124081307. The reversal of 66124081218 is 81218042166.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (66124081217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1189071 + ... + 1243437.

It is an arithmetic number, because the mean of its divisors is an integer number (2301723648).

Almost surely, 2^66124081218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66124081218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73655156736).

66124081218 is an abundant number, since it is smaller than the sum of its proper divisors (81186232254).

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

66124081218 is a wasteful number, since it uses less digits than its factorization.

66124081218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54919.

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 66124081218 in words is "sixty-six billion, one hundred twenty-four million, eighty-one thousand, two hundred eighteen".