14258270464 has 81 divisors (see below), whose sum is σ = 30302518197. Its totient is φ = 6694490112.

The previous prime is 14258270461. The next prime is 14258270497. The reversal of 14258270464 is 46407285241.

The square root of 14258270464 is 119408.

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., 11100729600 + 3157540864 = 105360^2 + 56192^2 .

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 14258270464.

It is not an unprimeable number, because it can be changed into a prime (14258270461) 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, 32478757 + ... + 32479195.

Almost surely, 2^14258270464 is an apocalyptic number.

14258270464 is the 119408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14258270464

14258270464 is an abundant number, since it is smaller than the sum of its proper divisors (16044247733).

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

14258270464 is an frugal number, since it uses more digits than its factorization.

14258270464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 43.

The spelling of 14258270464 in words is "fourteen billion, two hundred fifty-eight million, two hundred seventy thousand, four hundred sixty-four".