66418491132 has 288 divisors, whose sum is σ = 214347055104. Its totient is φ = 17564817600.

The previous prime is 66418491127. The next prime is 66418491133. The reversal of 66418491132 is 23119481466.

66418491132 is a `hidden beast` number, since 66 + 418 + 49 + 1 + 132 = 666.

It is a super-2 number, since 2×66418491132² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66418491133) 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, 4844407 + ... + 4858097.

It is an arithmetic number, because the mean of its divisors is an integer number (744260608).

Almost surely, 2^66418491132 is an apocalyptic number.

66418491132 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66418491132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107173527552).

66418491132 is an abundant number, since it is smaller than the sum of its proper divisors (147928563972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66418491132 is a wasteful number, since it uses less digits than its factorization.

66418491132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13771 (or 13757 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 66418491132 in words is "sixty-six billion, four hundred eighteen million, four hundred ninety-one thousand, one hundred thirty-two".