14906456464 has 45 divisors (see below), whose sum is σ = 29228853409. Its totient is φ = 7364589440.

The previous prime is 14906456449. The next prime is 14906456491. The reversal of 14906456464 is 46465460941.

The square root of 14906456464 is 122092.

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., 3027200400 + 11879256064 = 55020^2 + 108992^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63976092 + ... + 63976324.

Almost surely, 2^14906456464 is an apocalyptic number.

14906456464 is the 122092-nd square number.

It is an amenable number.

14906456464 is a deficient number, since it is larger than the sum of its proper divisors (14322396945).

14906456464 is an frugal number, since it uses more digits than its factorization.

14906456464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 49.

Multiplying 14906456464 by its sum of digits (49), we get a square (730416366736 = 854644²).

The spelling of 14906456464 in words is "fourteen billion, nine hundred six million, four hundred fifty-six thousand, four hundred sixty-four".