13352192108352 has 168 divisors, whose sum is σ = 38424271224456. Its totient is φ = 4433008656384.

The previous prime is 13352192108323. The next prime is 13352192108357. The reversal of 13352192108352 is 25380129125331.

13352192108352 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 2 + 192 + 108 + 352 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 940775844096 + 12411416264256 = 969936^2 + 3522984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13352192108298 and 13352192108307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13352192108357) 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 23 ways as a sum of consecutive naturals, for example, 193495168 + ... + 193564160.

Almost surely, 2^{13352192108352} is an apocalyptic number.

13352192108352 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 13352192108352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19212135612228).

13352192108352 is an abundant number, since it is smaller than the sum of its proper divisors (25072079116104).

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

13352192108352 is a wasteful number, since it uses less digits than its factorization.

13352192108352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70345 (or 70332 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 13352192108352 in words is "thirteen trillion, three hundred fifty-two billion, one hundred ninety-two million, one hundred eight thousand, three hundred fifty-two".