13344852353952 has 384 divisors, whose sum is σ = 43529265561600. Its totient is φ = 3493352448000.

The previous prime is 13344852353927. The next prime is 13344852353957. The reversal of 13344852353952 is 25935325844331.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 13344852353892 and 13344852353901.

It is not an unprimeable number, because it can be changed into a prime (13344852353957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 660593452 + ... + 660613652.

It is an arithmetic number, because the mean of its divisors is an integer number (113357462400).

Almost surely, 2^{13344852353952} is an apocalyptic number.

13344852353952 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 13344852353952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21764632780800).

13344852353952 is an abundant number, since it is smaller than the sum of its proper divisors (30184413207648).

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

13344852353952 is a wasteful number, since it uses less digits than its factorization.

13344852353952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21940 (or 21932 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 57.

The spelling of 13344852353952 in words is "thirteen trillion, three hundred forty-four billion, eight hundred fifty-two million, three hundred fifty-three thousand, nine hundred fifty-two".