13945720464 has 135 divisors (see below), whose sum is σ = 42317692443. Its totient is φ = 4285322496.

The previous prime is 13945720447. The next prime is 13945720511. The reversal of 13945720464 is 46402754931.

The square root of 13945720464 is 118092.

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

13945720464 is a `hidden beast` number, since 1 + 39 + 4 + 572 + 0 + 46 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1004382864 + 12941337600 = 31692^2 + 113760^2 .

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 26 ways as a sum of consecutive naturals, for example, 18421974 + ... + 18422730.

Almost surely, 2^13945720464 is an apocalyptic number.

13945720464 is the 118092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13945720464

13945720464 is an abundant number, since it is smaller than the sum of its proper divisors (28371971979).

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

13945720464 is an equidigital number, since it uses as much as digits as its factorization.

13945720464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13945720464 in words is "thirteen billion, nine hundred forty-five million, seven hundred twenty thousand, four hundred sixty-four".