13341216672 has 144 divisors (see below), whose sum is σ = 45264985920. Its totient is φ = 3811764096.

The previous prime is 13341216661. The next prime is 13341216727. The reversal of 13341216672 is 27661214331.

13341216672 is a `hidden beast` number, since 13 + 3 + 412 + 166 + 72 = 666.

13341216672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 115228 + ... + 199899.

It is an arithmetic number, because the mean of its divisors is an integer number (314340180).

Almost surely, 2^13341216672 is an apocalyptic number.

13341216672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13341216672 is an abundant number, since it is smaller than the sum of its proper divisors (31923769248).

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

13341216672 is a wasteful number, since it uses less digits than its factorization.

13341216672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315160 (or 315139 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The spelling of 13341216672 in words is "thirteen billion, three hundred forty-one million, two hundred sixteen thousand, six hundred seventy-two".