13642318124064 has 288 divisors, whose sum is σ = 46063823210496. Its totient is φ = 3890670900480.

The previous prime is 13642318124047. The next prime is 13642318124077. The reversal of 13642318124064 is 46042181324631.

13642318124064 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 231 + 8 + 1 + 2 + 406 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13642318124064² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29545209 + ... + 30003399.

It is an arithmetic number, because the mean of its divisors is an integer number (159943830592).

Almost surely, 2^{13642318124064} is an apocalyptic number.

13642318124064 is a gapful number since it is divisible by the number (14) 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 13642318124064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23031911605248).

13642318124064 is an abundant number, since it is smaller than the sum of its proper divisors (32421505086432).

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

13642318124064 is an equidigital number, since it uses as much as digits as its factorization.

13642318124064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458770 (or 458750 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

Adding to 13642318124064 its reverse (46042181324631), we get a palindrome (59684499448695).

The spelling of 13642318124064 in words is "thirteen trillion, six hundred forty-two billion, three hundred eighteen million, one hundred twenty-four thousand, sixty-four".