14469685641216 has 765 divisors, whose sum is σ = 47182774872321. Its totient is φ = 4417154187264.

The previous prime is 14469685641209. The next prime is 14469685641251. The reversal of 14469685641216 is 61214658696441.

The square root of 14469685641216 is 3803904.

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

14469685641216 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 9 + 68 + 564 + 1 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2140486041600 + 12329199599616 = 1463040^2 + 3511296^2 .

It is a super-2 number, since 2×14469685641216² (a number of 27 digits) contains 22 as substring.

Its product of digits (59719680) is a multiple of the sum of its prime factors (324).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 113934532545 + ... + 113934532671.

Almost surely, 2^{14469685641216} is an apocalyptic number.

14469685641216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14469685641216 is the 3803904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14469685641216

14469685641216 is an abundant number, since it is smaller than the sum of its proper divisors (32713089231105).

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

14469685641216 is an frugal number, since it uses more digits than its factorization.

14469685641216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 145 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 14469685641216 in words is "fourteen trillion, four hundred sixty-nine billion, six hundred eighty-five million, six hundred forty-one thousand, two hundred sixteen".