13642818921360 has 320 divisors, whose sum is σ = 50315233190400. Its totient is φ = 3385606422528.

The previous prime is 13642818921341. The next prime is 13642818921397. The reversal of 13642818921360 is 6312981824631.

It is a happy number.

13642818921360 is a `hidden beast` number, since 1 + 3 + 6 + 428 + 1 + 89 + 2 + 136 + 0 = 666.

It is a super-2 number, since 2×13642818921360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13642818921297 and 13642818921306.

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, 1180797 + ... + 5355363.

It is an arithmetic number, because the mean of its divisors is an integer number (157235103720).

Almost surely, 2^{13642818921360} is an apocalyptic number.

13642818921360 is a gapful number since it is divisible by the number (10) 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 13642818921360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25157616595200).

13642818921360 is an abundant number, since it is smaller than the sum of its proper divisors (36672414269040).

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

13642818921360 is a wasteful number, since it uses less digits than its factorization.

13642818921360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174695 (or 4174683 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 13642818921360 in words is "thirteen trillion, six hundred forty-two billion, eight hundred eighteen million, nine hundred twenty-one thousand, three hundred sixty".