13345432416 has 72 divisors (see below), whose sum is σ = 39601139760. Its totient is φ = 4255063296.

The previous prime is 13345432379. The next prime is 13345432417. The reversal of 13345432416 is 61423454331.

13345432416 is a `hidden beast` number, since 133 + 454 + 32 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13345432417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1000731 + ... + 1013978.

It is an arithmetic number, because the mean of its divisors is an integer number (550015830).

Almost surely, 2^13345432416 is an apocalyptic number.

13345432416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13345432416 is an abundant number, since it is smaller than the sum of its proper divisors (26255707344).

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

13345432416 is a wasteful number, since it uses less digits than its factorization.

13345432416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014748 (or 2014737 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 13345432416 its reverse (61423454331), we get a palindrome (74768886747).

The spelling of 13345432416 in words is "thirteen billion, three hundred forty-five million, four hundred thirty-two thousand, four hundred sixteen".