13332120145416 has 64 divisors (see below), whose sum is σ = 37196811115200. Its totient is φ = 4424462763264.

The previous prime is 13332120145369. The next prime is 13332120145423. The reversal of 13332120145416 is 61454102123331.

13332120145416 is a `hidden beast` number, since 1 + 3 + 3 + 32 + 1 + 201 + 4 + 5 + 416 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135904225 + ... + 136002288.

It is an arithmetic number, because the mean of its divisors is an integer number (581200173675).

Almost surely, 2^{13332120145416} is an apocalyptic number.

It is an amenable number.

13332120145416 is an abundant number, since it is smaller than the sum of its proper divisors (23864690969784).

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

13332120145416 is a wasteful number, since it uses less digits than its factorization.

13332120145416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271906755 (or 271906745 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 13332120145416 its reverse (61454102123331), we get a palindrome (74786222268747).

The spelling of 13332120145416 in words is "thirteen trillion, three hundred thirty-two billion, one hundred twenty million, one hundred forty-five thousand, four hundred sixteen".