13481414619264 has 384 divisors, whose sum is σ = 41519464833600. Its totient is φ = 4186616758272.

The previous prime is 13481414619227. The next prime is 13481414619269. The reversal of 13481414619264 is 46291641418431.

13481414619264 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 1 + 4 + 14 + 619 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13481414619264.

It is not an unprimeable number, because it can be changed into a prime (13481414619269) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 320835184 + ... + 320877200.

Almost surely, 2^{13481414619264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13481414619264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20759732416800).

13481414619264 is an abundant number, since it is smaller than the sum of its proper divisors (28038050214336).

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

13481414619264 is a wasteful number, since it uses less digits than its factorization.

13481414619264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42300 (or 42285 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 13481414619264 in words is "thirteen trillion, four hundred eighty-one billion, four hundred fourteen million, six hundred nineteen thousand, two hundred sixty-four".