13162993550784 has 672 divisors, whose sum is σ = 48262767421440. Its totient is φ = 3330454579200.

The previous prime is 13162993550779. The next prime is 13162993550857. The reversal of 13162993550784 is 48705539926131.

13162993550784 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 2 + 9 + 9 + 3 + 550 + 78 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 722795439 + ... + 722813649.

It is a 1-persistent number, because it is pandigital, but 2⋅13162993550784 = 26325987101568 is not.

Almost surely, 2^{13162993550784} is an apocalyptic number.

13162993550784 is a gapful number since it is divisible by the number (14) 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 13162993550784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131383710720).

13162993550784 is an abundant number, since it is smaller than the sum of its proper divisors (35099773870656).

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

13162993550784 is a wasteful number, since it uses less digits than its factorization.

13162993550784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18669 (or 18656 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 13162993550784 in words is "thirteen trillion, one hundred sixty-two billion, nine hundred ninety-three million, five hundred fifty thousand, seven hundred eighty-four".