66303414100 has 162 divisors, whose sum is σ = 183968960910. Its totient is φ = 20665814400.

The previous prime is 66303414091. The next prime is 66303414119. The reversal of 66303414100 is 141430366.

It can be written as a sum of positive squares in 3 ways, for example, as 11654066116 + 54649347984 = 107954^2 + 233772^2 .

It is a super-2 number, since 2×66303414100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 536986 + ... + 648814.

Almost surely, 2^66303414100 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 66303414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91984480455).

66303414100 is an abundant number, since it is smaller than the sum of its proper divisors (117665546810).

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

66303414100 is a wasteful number, since it uses less digits than its factorization.

66303414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111879 (or 111854 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 66303414100 its reverse (141430366), we get a palindrome (66444844466).

The spelling of 66303414100 in words is "sixty-six billion, three hundred three million, four hundred fourteen thousand, one hundred".