13355162413824 has 1152 divisors, whose sum is σ = 47263297536000. Its totient is φ = 3314590433280.

The previous prime is 13355162413823. The next prime is 13355162413847. The reversal of 13355162413824 is 42831426155331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13355162413823) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8655321597 + ... + 8655323139.

It is an arithmetic number, because the mean of its divisors is an integer number (41027168000).

Almost surely, 2^{13355162413824} is an apocalyptic number.

13355162413824 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 13355162413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23631648768000).

13355162413824 is an abundant number, since it is smaller than the sum of its proper divisors (33908135122176).

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

13355162413824 is a wasteful number, since it uses less digits than its factorization.

13355162413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1698 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The spelling of 13355162413824 in words is "thirteen trillion, three hundred fifty-five billion, one hundred sixty-two million, four hundred thirteen thousand, eight hundred twenty-four".