13813364506032 has 2240 divisors, whose sum is σ = 56384261176320. Its totient is φ = 3169395081216.

The previous prime is 13813364506009. The next prime is 13813364506037. The reversal of 13813364506032 is 23060546331831.

It is a happy number.

13813364506032 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 3 + 36 + 4 + 5 + 0 + 603 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (13813364506037) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 14742117468 + ... + 14742118404.

It is an arithmetic number, because the mean of its divisors is an integer number (25171545168).

Almost surely, 2^{13813364506032} is an apocalyptic number.

13813364506032 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 13813364506032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28192130588160).

13813364506032 is an abundant number, since it is smaller than the sum of its proper divisors (42570896670288).

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

13813364506032 is a wasteful number, since it uses less digits than its factorization.

13813364506032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 13813364506032 in words is "thirteen trillion, eight hundred thirteen billion, three hundred sixty-four million, five hundred six thousand, thirty-two".