13191885802368 has 1728 divisors, whose sum is σ = 51074219055600. Its totient is φ = 3247651749888.

The previous prime is 13191885802367. The next prime is 13191885802379. The reversal of 13191885802368 is 86320858819131.

13191885802368 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 18 + 8 + 580 + 2 + 36 + 8 = 666.

It is a super-2 number, since 2×13191885802368² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13191885802367) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 13231580046 + ... + 13231581042.

Almost surely, 2^{13191885802368} is an apocalyptic number.

13191885802368 is a gapful number since it is divisible by the number (18) 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 13191885802368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25537109527800).

13191885802368 is an abundant number, since it is smaller than the sum of its proper divisors (37882333253232).

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

13191885802368 is a wasteful number, since it uses less digits than its factorization.

13191885802368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 13191885802368 in words is "thirteen trillion, one hundred ninety-one billion, eight hundred eighty-five million, eight hundred two thousand, three hundred sixty-eight".