7666181451369 has 135 divisors (see below), whose sum is σ = 13533791728941. Its totient is φ = 4311998122320.

The previous prime is 7666181451317. The next prime is 7666181451463. The reversal of 7666181451369 is 9631541816667.

It is a happy number.

The square root of 7666181451369 is 2768787.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 7666181451369 - 2²¹ = 7666179354217 is a prime.

It is a super-2 number, since 2×7666181451369² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7666181451169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 12384783942 + ... + 12384784560.

Almost surely, 2^{7666181451369} is an apocalyptic number.

7666181451369 is the 2768787-th square number.

7666181451369 is the 1384394-th centered octagonal number.

It is an amenable number.

7666181451369 is a deficient number, since it is larger than the sum of its proper divisors (5867610277572).

7666181451369 is an frugal number, since it uses more digits than its factorization.

7666181451369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 700 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 7666181451369 in words is "seven trillion, six hundred sixty-six billion, one hundred eighty-one million, four hundred fifty-one thousand, three hundred sixty-nine".