14106213918976 has 81 divisors (see below), whose sum is σ = 28328567907913. Its totient is φ = 7010470845440.

The previous prime is 14106213918971. The next prime is 14106213918983. The reversal of 14106213918976 is 67981931260141.

The square root of 14106213918976 is 3755824.

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., 13923166853376 + 183047065600 = 3731376^2 + 427840^2 .

It is a super-2 number, since 2×14106213918976² (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 14106213918976.

It is not an unprimeable number, because it can be changed into a prime (14106213918971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11477797530 + ... + 11477798758.

Almost surely, 2^{14106213918976} is an apocalyptic number.

14106213918976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14106213918976 is the 3755824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14106213918976

14106213918976 is an abundant number, since it is smaller than the sum of its proper divisors (14222353988937).

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

14106213918976 is an frugal number, since it uses more digits than its factorization.

14106213918976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 58.

The spelling of 14106213918976 in words is "fourteen trillion, one hundred six billion, two hundred thirteen million, nine hundred eighteen thousand, nine hundred seventy-six".