32352146311345 has 48 divisors (see below), whose sum is σ = 47298368337408. Its totient is φ = 21141490043520.

The previous prime is 32352146311301. The next prime is 32352146311489. The reversal of 32352146311345 is 54311364125323.

32352146311345 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 32352146311345 - 2¹³ = 32352146303153 is a prime.

It is a super-2 number, since 2×32352146311345² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9065694 + ... + 12119863.

It is an arithmetic number, because the mean of its divisors is an integer number (985382673696).

Almost surely, 2^{32352146311345} is an apocalyptic number.

32352146311345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

32352146311345 is a deficient number, since it is larger than the sum of its proper divisors (14946222026063).

32352146311345 is a wasteful number, since it uses less digits than its factorization.

32352146311345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21185870 (or 21185863 counting only the distinct ones).

The product of its digits is 777600, while the sum is 43.

The spelling of 32352146311345 in words is "thirty-two trillion, three hundred fifty-two billion, one hundred forty-six million, three hundred eleven thousand, three hundred forty-five".