13611481296 has 80 divisors (see below), whose sum is σ = 41572041600. Its totient is φ = 3754888704.

The previous prime is 13611481291. The next prime is 13611481321. The reversal of 13611481296 is 69218411631.

13611481296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13611481291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688711 + ... + 708198.

It is an arithmetic number, because the mean of its divisors is an integer number (519650520).

Almost surely, 2^13611481296 is an apocalyptic number.

13611481296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13611481296 is an abundant number, since it is smaller than the sum of its proper divisors (27960560304).

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

13611481296 is a wasteful number, since it uses less digits than its factorization.

13611481296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396956 (or 1396950 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The spelling of 13611481296 in words is "thirteen billion, six hundred eleven million, four hundred eighty-one thousand, two hundred ninety-six".