66146353101 has 12 divisors (see below), whose sum is σ = 98127022812. Its totient is φ = 42905742336.

The previous prime is 66146353081. The next prime is 66146353129. The reversal of 66146353101 is 10135364166.

66146353101 is a `hidden beast` number, since 6 + 6 + 1 + 4 + 635 + 3 + 10 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31958712900 + 34187640201 = 178770^2 + 184899^2 .

It is not a de Polignac number, because 66146353101 - 2⁷ = 66146352973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66146353151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99318516 + ... + 99319181.

It is an arithmetic number, because the mean of its divisors is an integer number (8177251901).

Almost surely, 2^66146353101 is an apocalyptic number.

It is an amenable number.

66146353101 is a deficient number, since it is larger than the sum of its proper divisors (31980669711).

66146353101 is a wasteful number, since it uses less digits than its factorization.

66146353101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198637740 (or 198637737 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 66146353101 in words is "sixty-six billion, one hundred forty-six million, three hundred fifty-three thousand, one hundred one".