13967478561481 has 9 divisors (see below), whose sum is σ = 13988787488949. Its totient is φ = 13946202061344.

The previous prime is 13967478561469. The next prime is 13967478561493. The reversal of 13967478561481 is 18416587476931.

The square root of 13967478561481 is 3737309.

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

It is an interprime number because it is at equal distance from previous prime (13967478561469) and next prime (13967478561493).

It can be written as a sum of positive squares in 4 ways, for example, as 39803841081 + 13927674720400 = 199509^2 + 3731980^2 .

It is not a de Polignac number, because 13967478561481 - 2²¹ = 13967476464329 is a prime.

It is a super-2 number, since 2×13967478561481² (a number of 27 digits) contains 22 as substring.

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 13967478561481.

It is not an unprimeable number, because it can be changed into a prime (13967478561401) 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, 2829140445 + ... + 2829145381.

Almost surely, 2^{13967478561481} is an apocalyptic number.

13967478561481 is the 3737309-th square number.

13967478561481 is the 1868655-th centered octagonal number.

It is an amenable number.

13967478561481 is a deficient number, since it is larger than the sum of its proper divisors (21308927468).

13967478561481 is an frugal number, since it uses more digits than its factorization.

13967478561481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11388 (or 5694 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 70.

The spelling of 13967478561481 in words is "thirteen trillion, nine hundred sixty-seven billion, four hundred seventy-eight million, five hundred sixty-one thousand, four hundred eighty-one".