13842146867520 has 224 divisors, whose sum is σ = 44593005364992. Its totient is φ = 3637229764608.

The previous prime is 13842146867519. The next prime is 13842146867543. The reversal of 13842146867520 is 2576864124831.

It is a congruent number.

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, 74402134 + ... + 74587946.

It is an arithmetic number, because the mean of its divisors is an integer number (199075916808).

Almost surely, 2^{13842146867520} is an apocalyptic number.

13842146867520 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 13842146867520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22296502682496).

13842146867520 is an abundant number, since it is smaller than the sum of its proper divisors (30750858497472).

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

13842146867520 is a wasteful number, since it uses less digits than its factorization.

13842146867520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186969 (or 186959 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 13842146867520 in words is "thirteen trillion, eight hundred forty-two billion, one hundred forty-six million, eight hundred sixty-seven thousand, five hundred twenty".