14910363664 has 105 divisors (see below), whose sum is σ = 34086540637. Its totient is φ = 6318356352.

The previous prime is 14910363623. The next prime is 14910363667. The reversal of 14910363664 is 46636301941.

The square root of 14910363664 is 122108.

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., 2863106064 + 12047257600 = 53508^2 + 109760^2 .

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 14910363664.

It is not an unprimeable number, because it can be changed into a prime (14910363667) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 167532132 + ... + 167532220.

Almost surely, 2^14910363664 is an apocalyptic number.

14910363664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14910363664 is the 122108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14910363664

14910363664 is an abundant number, since it is smaller than the sum of its proper divisors (19176176973).

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

14910363664 is an frugal number, since it uses more digits than its factorization.

14910363664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The spelling of 14910363664 in words is "fourteen billion, nine hundred ten million, three hundred sixty-three thousand, six hundred sixty-four".