66872162441 has 12 divisors (see below), whose sum is σ = 78219856260. Its totient is φ = 57002309280.

The previous prime is 66872162419. The next prime is 66872162471. The reversal of 66872162441 is 14426127866.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14156002441 + 52716160000 = 118979^2 + 229600^2 .

It is not a de Polignac number, because 66872162441 - 2¹⁸ = 66871900297 is a prime.

It is a super-2 number, since 2×66872162441² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66872162411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3761126 + ... + 3778863.

It is an arithmetic number, because the mean of its divisors is an integer number (6518321355).

Almost surely, 2^66872162441 is an apocalyptic number.

It is an amenable number.

66872162441 is a deficient number, since it is larger than the sum of its proper divisors (11347693819).

66872162441 is a wasteful number, since it uses less digits than its factorization.

66872162441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7540184 (or 7540177 counting only the distinct ones).

The product of its digits is 774144, while the sum is 47.

The spelling of 66872162441 in words is "sixty-six billion, eight hundred seventy-two million, one hundred sixty-two thousand, four hundred forty-one".