13533667434 has 160 divisors (see below), whose sum is σ = 36948172800. Its totient is φ = 3616423200.

The previous prime is 13533667403. The next prime is 13533667447. The reversal of 13533667434 is 43476633531.

13533667434 is a `hidden beast` number, since 13 + 533 + 6 + 6 + 74 + 34 = 666.

It is a super-2 number, since 2×13533667434² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13533667434.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1698159 + ... + 1706109.

It is an arithmetic number, because the mean of its divisors is an integer number (230926080).

Almost surely, 2^13533667434 is an apocalyptic number.

13533667434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13533667434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18474086400).

13533667434 is an abundant number, since it is smaller than the sum of its proper divisors (23414505366).

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

13533667434 is a wasteful number, since it uses less digits than its factorization.

13533667434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8070 (or 8061 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 45.

The spelling of 13533667434 in words is "thirteen billion, five hundred thirty-three million, six hundred sixty-seven thousand, four hundred thirty-four".