13434617781504 has 252 divisors, whose sum is σ = 40965389978436. Its totient is φ = 4393708240896.

The previous prime is 13434617781499. The next prime is 13434617781583. The reversal of 13434617781504 is 40518771643431.

13434617781504 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 4 + 61 + 7 + 78 + 1 + 504 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7264361781504 + 6170256000000 = 2695248^2 + 2484000^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 9211944 + ... + 10570200.

It is an arithmetic number, because the mean of its divisors is an integer number (162561071343).

Almost surely, 2^{13434617781504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13434617781504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20482694989218).

13434617781504 is an abundant number, since it is smaller than the sum of its proper divisors (27530772196932).

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

13434617781504 is an frugal number, since it uses more digits than its factorization.

13434617781504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358344 (or 1358315 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 13434617781504 in words is "thirteen trillion, four hundred thirty-four billion, six hundred seventeen million, seven hundred eighty-one thousand, five hundred four".