14763945542544 has 675 divisors, whose sum is σ = 48688495863777. Its totient is φ = 4315770201600.

The previous prime is 14763945542509. The next prime is 14763945542587. The reversal of 14763945542544 is 44524554936741.

The square root of 14763945542544 is 3842388.

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

14763945542544 is a `hidden beast` number, since 1 + 4 + 7 + 6 + 3 + 9 + 45 + 5 + 42 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94187610000 + 14669757932544 = 306900^2 + 3830112^2 .

Its product of digits (290304000) is a multiple of the sum of its prime divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 47169154932 + ... + 47169155244.

Almost surely, 2^{14763945542544} is an apocalyptic number.

14763945542544 is the 3842388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14763945542544

14763945542544 is an abundant number, since it is smaller than the sum of its proper divisors (33924550321233).

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

14763945542544 is an equidigital number, since it uses as much as digits as its factorization.

14763945542544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 360 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 63.

The spelling of 14763945542544 in words is "fourteen trillion, seven hundred sixty-three billion, nine hundred forty-five million, five hundred forty-two thousand, five hundred forty-four".