13506465336 has 256 divisors, whose sum is σ = 43414963200. Its totient is φ = 3405459456.

The previous prime is 13506465317. The next prime is 13506465373. The reversal of 13506465336 is 63356460531.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6775956 + ... + 6777948.

It is an arithmetic number, because the mean of its divisors is an integer number (169589700).

Almost surely, 2^13506465336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13506465336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21707481600).

13506465336 is an abundant number, since it is smaller than the sum of its proper divisors (29908497864).

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

13506465336 is a wasteful number, since it uses less digits than its factorization.

13506465336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 13506465336 in words is "thirteen billion, five hundred six million, four hundred sixty-five thousand, three hundred thirty-six".