13607609849856 has 432 divisors, whose sum is σ = 43331783662440. Its totient is φ = 4110837350400.

The previous prime is 13607609849833. The next prime is 13607609849863. The reversal of 13607609849856 is 65894890670631.

13607609849856 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 7 + 609 + 8 + 4 + 9 + 8 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 738210816 + ... + 738229248.

Almost surely, 2^{13607609849856} is an apocalyptic number.

13607609849856 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 13607609849856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21665891831220).

13607609849856 is an abundant number, since it is smaller than the sum of its proper divisors (29724173812584).

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

13607609849856 is a wasteful number, since it uses less digits than its factorization.

13607609849856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18814 (or 18780 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 13607609849856 in words is "thirteen trillion, six hundred seven billion, six hundred nine million, eight hundred forty-nine thousand, eight hundred fifty-six".