14461226995264 has 315 divisors, whose sum is σ = 34171100403027. Its totient is φ = 6071811508224.

The previous prime is 14461226995219. The next prime is 14461226995277. The reversal of 14461226995264 is 46259962216441.

The square root of 14461226995264 is 3802792.

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

It can be written as a sum of positive squares in 4 ways, for example, as 240484313664 + 14220742681600 = 490392^2 + 3771040^2 .

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, 132671807242 + ... + 132671807350.

Almost surely, 2^{14461226995264} is an apocalyptic number.

14461226995264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14461226995264 is the 3802792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14461226995264

14461226995264 is an abundant number, since it is smaller than the sum of its proper divisors (19709873407763).

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

14461226995264 is an frugal number, since it uses more digits than its factorization.

14461226995264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 207 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 61.

The spelling of 14461226995264 in words is "fourteen trillion, four hundred sixty-one billion, two hundred twenty-six million, nine hundred ninety-five thousand, two hundred sixty-four".