66035040466167 has 96 divisors (see below), whose sum is σ = 98160932263680. Its totient is φ = 42761090211840.

The previous prime is 66035040466123. The next prime is 66035040466181. The reversal of 66035040466167 is 76166404053066.

66035040466167 is a `hidden beast` number, since 6 + 60 + 3 + 504 + 0 + 4 + 66 + 16 + 7 = 666.

It is not a de Polignac number, because 66035040466167 - 2¹⁶ = 66035040400631 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66035040466667) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22560654658 + ... + 22560657584.

It is an arithmetic number, because the mean of its divisors is an integer number (1022509711080).

Almost surely, 2^{66035040466167} is an apocalyptic number.

66035040466167 is a deficient number, since it is larger than the sum of its proper divisors (32125891797513).

66035040466167 is a wasteful number, since it uses less digits than its factorization.

66035040466167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4313 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 66035040466167 in words is "sixty-six trillion, thirty-five billion, forty million, four hundred sixty-six thousand, one hundred sixty-seven".