13243091620032 has 672 divisors, whose sum is σ = 42045260974080. Its totient is φ = 4125405634560.

The previous prime is 13243091619991. The next prime is 13243091620067. The reversal of 13243091620032 is 23002619034231.

13243091620032 is a `hidden beast` number, since 1 + 3 + 2 + 430 + 9 + 16 + 200 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2443823019 + ... + 2443828437.

It is an arithmetic number, because the mean of its divisors is an integer number (62567352640).

Almost surely, 2^{13243091620032} is an apocalyptic number.

13243091620032 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 13243091620032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21022630487040).

13243091620032 is an abundant number, since it is smaller than the sum of its proper divisors (28802169354048).

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

13243091620032 is a wasteful number, since it uses less digits than its factorization.

13243091620032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5651 (or 5629 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 13243091620032 in words is "thirteen trillion, two hundred forty-three billion, ninety-one million, six hundred twenty thousand, thirty-two".