66117104353251 has 160 divisors (see below), whose sum is σ = 117507823994880. Its totient is φ = 36263002523904.

The previous prime is 66117104353249. The next prime is 66117104353369. The reversal of 66117104353251 is 15235340171166.

66117104353251 is a `hidden beast` number, since 6 + 6 + 1 + 1 + 7 + 104 + 3 + 532 + 5 + 1 = 666.

66117104353251 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66117104353251 - 2¹ = 66117104353249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66117104353197 and 66117104353206.

It is not an unprimeable number, because it can be changed into a prime (66117104357251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3473074705 + ... + 3473093741.

It is an arithmetic number, because the mean of its divisors is an integer number (734423899968).

Almost surely, 2^{66117104353251} is an apocalyptic number.

66117104353251 is a deficient number, since it is larger than the sum of its proper divisors (51390719641629).

66117104353251 is a wasteful number, since it uses less digits than its factorization.

66117104353251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21615 (or 21606 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 66117104353251 in words is "sixty-six trillion, one hundred seventeen billion, one hundred four million, three hundred fifty-three thousand, two hundred fifty-one".