13468668642 has 192 divisors, whose sum is σ = 37475343360. Its totient is φ = 3431116800.

The previous prime is 13468668637. The next prime is 13468668649. The reversal of 13468668642 is 24686686431.

13468668642 is a `hidden beast` number, since 1 + 3 + 468 + 66 + 86 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (13468668649) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1351534 + ... + 1361462.

It is an arithmetic number, because the mean of its divisors is an integer number (195184080).

Almost surely, 2^13468668642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13468668642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18737671680).

13468668642 is an abundant number, since it is smaller than the sum of its proper divisors (24006674718).

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

13468668642 is a wasteful number, since it uses less digits than its factorization.

13468668642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10009 (or 10006 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

It can be divided in two parts, 1 and 3468668642, that added together give a palindrome (3468668643).

The spelling of 13468668642 in words is "thirteen billion, four hundred sixty-eight million, six hundred sixty-eight thousand, six hundred forty-two".