13508818512 has 320 divisors, whose sum is σ = 43840051200. Its totient is φ = 3497195520.

The previous prime is 13508818471. The next prime is 13508818513. The reversal of 13508818512 is 21581880531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13508818513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24252538 + ... + 24253094.

It is an arithmetic number, because the mean of its divisors is an integer number (137000160).

Almost surely, 2^13508818512 is an apocalyptic number.

13508818512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13508818512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21920025600).

13508818512 is an abundant number, since it is smaller than the sum of its proper divisors (30331232688).

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

13508818512 is a wasteful number, since it uses less digits than its factorization.

13508818512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 42.

The spelling of 13508818512 in words is "thirteen billion, five hundred eight million, eight hundred eighteen thousand, five hundred twelve".