13356122624 has 80 divisors (see below), whose sum is σ = 30429724248. Its totient is φ = 5801705472.

The previous prime is 13356122617. The next prime is 13356122627. The reversal of 13356122624 is 42622165331.

It can be written as a sum of positive squares in 4 ways, for example, as 10436665600 + 2919457024 = 102160^2 + 54032^2 .

It is a super-3 number, since 3×13356122624³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13356122627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54134 + ... + 172170.

Almost surely, 2^13356122624 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 13356122624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15214862124).

13356122624 is an abundant number, since it is smaller than the sum of its proper divisors (17073601624).

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

13356122624 is a wasteful number, since it uses less digits than its factorization.

13356122624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118085 (or 118069 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

Adding to 13356122624 its reverse (42622165331), we get a palindrome (55978287955).

The spelling of 13356122624 in words is "thirteen billion, three hundred fifty-six million, one hundred twenty-two thousand, six hundred twenty-four".