13352435712 has 576 divisors, whose sum is σ = 50331456000. Its totient is φ = 3468165120.

The previous prime is 13352435699. The next prime is 13352435713. The reversal of 13352435712 is 21753425331.

13352435712 is a `hidden beast` number, since 1 + 33 + 52 + 4 + 3 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (75600) is a multiple of the sum of its prime factors (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13352435713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1213857787 + ... + 1213857797.

It is an arithmetic number, because the mean of its divisors is an integer number (87381000).

Almost surely, 2^13352435712 is an apocalyptic number.

13352435712 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 13352435712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25165728000).

13352435712 is an abundant number, since it is smaller than the sum of its proper divisors (36979020288).

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

13352435712 is an frugal number, since it uses more digits than its factorization.

13352435712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 23 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The spelling of 13352435712 in words is "thirteen billion, three hundred fifty-two million, four hundred thirty-five thousand, seven hundred twelve".