13842424355472 has 160 divisors (see below), whose sum is σ = 41829912099200. Its totient is φ = 4370683318272.

The previous prime is 13842424355411. The next prime is 13842424355483. The reversal of 13842424355472 is 27455342424831.

13842424355472 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 2 + 42 + 43 + 554 + 7 + 2 = 666.

It is a super-2 number, since 2×13842424355472² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60765048 + ... + 60992424.

It is an arithmetic number, because the mean of its divisors is an integer number (261436950620).

Almost surely, 2^{13842424355472} is an apocalyptic number.

13842424355472 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 13842424355472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20914956049600).

13842424355472 is an abundant number, since it is smaller than the sum of its proper divisors (27987487743728).

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

13842424355472 is a wasteful number, since it uses less digits than its factorization.

13842424355472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234830 (or 234818 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 54.

The spelling of 13842424355472 in words is "thirteen trillion, eight hundred forty-two billion, four hundred twenty-four million, three hundred fifty-five thousand, four hundred seventy-two".