66144406262511 has 32 divisors (see below), whose sum is σ = 91318637813760. Its totient is φ = 42536063291904.

The previous prime is 66144406262509. The next prime is 66144406262537. The reversal of 66144406262511 is 11526260444166.

It is not a de Polignac number, because 66144406262511 - 2¹ = 66144406262509 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66144406262411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1096219335 + ... + 1096279671.

It is an arithmetic number, because the mean of its divisors is an integer number (2853707431680).

Almost surely, 2^{66144406262511} is an apocalyptic number.

66144406262511 is a deficient number, since it is larger than the sum of its proper divisors (25174231551249).

66144406262511 is a wasteful number, since it uses less digits than its factorization.

66144406262511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71895.

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 66144406262511 in words is "sixty-six trillion, one hundred forty-four billion, four hundred six million, two hundred sixty-two thousand, five hundred eleven".