12166674181776 has 105 divisors (see below), whose sum is σ = 35344323202681. Its totient is φ = 4055432489856.

The previous prime is 12166674181663. The next prime is 12166674181799. The reversal of 12166674181776 is 67718147666121.

It is a happy number.

The square root of 12166674181776 is 3488076.

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

It can be written as a sum of positive squares in only one way, i.e., 11783978528400 + 382695653376 = 3432780^2 + 618624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 376696060 + ... + 376728356.

Almost surely, 2^{12166674181776} is an apocalyptic number.

12166674181776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12166674181776 is the 3488076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12166674181776

12166674181776 is an abundant number, since it is smaller than the sum of its proper divisors (23177649020905).

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

12166674181776 is an frugal number, since it uses more digits than its factorization.

12166674181776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64620 (or 32302 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 63.

The spelling of 12166674181776 in words is "twelve trillion, one hundred sixty-six billion, six hundred seventy-four million, one hundred eighty-one thousand, seven hundred seventy-six".