66130436554101 has 48 divisors (see below), whose sum is σ = 101827955314800. Its totient is φ = 41211689564160.

The previous prime is 66130436554097. The next prime is 66130436554121. The reversal of 66130436554101 is 10145563403166.

66130436554101 is a `hidden beast` number, since 6 + 6 + 1 + 3 + 0 + 43 + 65 + 541 + 0 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26760446302500 + 39369990251601 = 5173050^2 + 6274551^2 .

It is not a de Polignac number, because 66130436554101 - 2² = 66130436554097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66130436554121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288335811 + ... + 288565071.

It is an arithmetic number, because the mean of its divisors is an integer number (2121415735725).

Almost surely, 2^{66130436554101} is an apocalyptic number.

It is an amenable number.

66130436554101 is a deficient number, since it is larger than the sum of its proper divisors (35697518760699).

66130436554101 is a wasteful number, since it uses less digits than its factorization.

66130436554101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242086 (or 242083 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

Adding to 66130436554101 its reverse (10145563403166), we get a palindrome (76275999957267).

The spelling of 66130436554101 in words is "sixty-six trillion, one hundred thirty billion, four hundred thirty-six million, five hundred fifty-four thousand, one hundred one".