13673760416 has 24 divisors (see below), whose sum is σ = 28503759060. Its totient is φ = 6434710528.

The previous prime is 13673760413. The next prime is 13673760421. The reversal of 13673760416 is 61406737631.

It can be written as a sum of positive squares in 2 ways, for example, as 12773520400 + 900240016 = 113020^2 + 30004^2 .

It is not an unprimeable number, because it can be changed into a prime (13673760413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12567251 + ... + 12568338.

Almost surely, 2^13673760416 is an apocalyptic number.

13673760416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13673760416 is an abundant number, since it is smaller than the sum of its proper divisors (14829998644).

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

13673760416 is a wasteful number, since it uses less digits than its factorization.

13673760416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25135616 (or 25135608 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 44.

The spelling of 13673760416 in words is "thirteen billion, six hundred seventy-three million, seven hundred sixty thousand, four hundred sixteen".