14633868779776 has 81 divisors (see below), whose sum is σ = 29851167149839. Its totient is φ = 7159847178752.

The previous prime is 14633868779737. The next prime is 14633868779807. The reversal of 14633868779776 is 67797786833641.

The square root of 14633868779776 is 3825424.

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

It is a super-2 number, since 2×14633868779776² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14633868779776.

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 8 ways as a sum of consecutive naturals, for example, 2876716305 + ... + 2876721391.

Almost surely, 2^{14633868779776} is an apocalyptic number.

14633868779776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14633868779776 is the 3825424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14633868779776

14633868779776 is an abundant number, since it is smaller than the sum of its proper divisors (15217298370063).

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

14633868779776 is an frugal number, since it uses more digits than its factorization.

14633868779776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10284 (or 5136 counting only the distinct ones).

The product of its digits is 10754021376, while the sum is 82.

The spelling of 14633868779776 in words is "fourteen trillion, six hundred thirty-three billion, eight hundred sixty-eight million, seven hundred seventy-nine thousand, seven hundred seventy-six".