13706413056 has 616 divisors, whose sum is σ = 48828384704. Its totient is φ = 3762339840.

The previous prime is 13706413027. The next prime is 13706413073. The reversal of 13706413056 is 65031460731.

13706413056 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 641 + 3 + 0 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13706413056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 224695266 + ... + 224695326.

Almost surely, 2^13706413056 is an apocalyptic number.

13706413056 is a gapful number since it is divisible by the number (16) 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 13706413056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24414192352).

13706413056 is an abundant number, since it is smaller than the sum of its proper divisors (35121971648).

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

13706413056 is an frugal number, since it uses more digits than its factorization.

13706413056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 13706413056 its reverse (65031460731), we get a palindrome (78737873787).

The spelling of 13706413056 in words is "thirteen billion, seven hundred six million, four hundred thirteen thousand, fifty-six".