66584541303 has 48 divisors (see below), whose sum is σ = 111106195200. Its totient is φ = 37638760320.

The previous prime is 66584541293. The next prime is 66584541313. The reversal of 66584541303 is 30314548566.

66584541303 is a `hidden beast` number, since 6 + 6 + 584 + 54 + 13 + 0 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (66584541293) and next prime (66584541313).

It is not a de Polignac number, because 66584541303 - 2²⁰ = 66583492727 is a prime.

It is a super-2 number, since 2×66584541303² (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 (66584541313) 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, 2447188 + ... + 2474246.

It is an arithmetic number, because the mean of its divisors is an integer number (2314712400).

Almost surely, 2^66584541303 is an apocalyptic number.

66584541303 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

66584541303 is a deficient number, since it is larger than the sum of its proper divisors (44521653897).

66584541303 is a wasteful number, since it uses less digits than its factorization.

66584541303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27492 (or 27489 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 66584541303 in words is "sixty-six billion, five hundred eighty-four million, five hundred forty-one thousand, three hundred three".